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Finding the Fourth Proportional to 102,463.71, 153,689.97 and 39,314.13

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Solution

The fourth proportional to 102,463.71, 153,689.97 and 39,314.13 is: 58,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.71 : 153,689.97 = 39,314.13 : x
  2. Step 2: Convert to fraction form
    102,463.71/153,689.97 = 39,314.13/x
  3. Step 3: Cross multiply
    102,463.71x = 153,689.97 × 39,314.13
  4. Step 4: Simplify right side
    102,463.71x = 6,042,187,460.28
  5. Step 5: Solve for x
    x = 6,042,187,460.28/102,463.71
  6. Step 6: Final answer
    x = 58,969.05

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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.