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Finding the Fourth Proportional to 51,433,354.57, 70,978,215.12 and 27,911,886.19

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Solution

The fourth proportional to 51,433,354.57, 70,978,215.12 and 27,911,886.19 is: 38,518,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433,354.57 : 70,978,215.12 = 27,911,886.19 : x
  2. Step 2: Convert to fraction form
    51,433,354.57/70,978,215.12 = 27,911,886.19/x
  3. Step 3: Cross multiply
    51,433,354.57x = 70,978,215.12 × 27,911,886.19
  4. Step 4: Simplify right side
    51,433,354.57x = 1,981,135,862,398,777.50
  5. Step 5: Solve for x
    x = 1,981,135,862,398,777.50/51,433,354.57
  6. Step 6: Final answer
    x = 38,518,503.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.