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Finding the Fourth Proportional to 51,752.97, 77,645.86 and 18,472.30

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Solution

The fourth proportional to 51,752.97, 77,645.86 and 18,472.30 is: 27,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.97 : 77,645.86 = 18,472.30 : x
  2. Step 2: Convert to fraction form
    51,752.97/77,645.86 = 18,472.30/x
  3. Step 3: Cross multiply
    51,752.97x = 77,645.86 × 18,472.30
  4. Step 4: Simplify right side
    51,752.97x = 1,434,297,139.09
  5. Step 5: Solve for x
    x = 1,434,297,139.09/51,752.97
  6. Step 6: Final answer
    x = 27,714.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.