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Finding the Fourth Proportional to 56,443.43, 77,892.80 and 30,952.12

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Solution

The fourth proportional to 56,443.43, 77,892.80 and 30,952.12 is: 42,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,443.43 : 77,892.80 = 30,952.12 : x
  2. Step 2: Convert to fraction form
    56,443.43/77,892.80 = 30,952.12/x
  3. Step 3: Cross multiply
    56,443.43x = 77,892.80 × 30,952.12
  4. Step 4: Simplify right side
    56,443.43x = 2,410,947,175.38
  5. Step 5: Solve for x
    x = 2,410,947,175.38/56,443.43
  6. Step 6: Final answer
    x = 42,714.40

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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.