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Finding the Fourth Proportional to 54,862.68, 75,710.10 and 29,712

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Solution

The fourth proportional to 54,862.68, 75,710.10 and 29,712 is: 41,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.68 : 75,710.10 = 29,712 : x
  2. Step 2: Convert to fraction form
    54,862.68/75,710.10 = 29,712/x
  3. Step 3: Cross multiply
    54,862.68x = 75,710.10 × 29,712
  4. Step 4: Simplify right side
    54,862.68x = 2,249,498,491.20
  5. Step 5: Solve for x
    x = 2,249,498,491.20/54,862.68
  6. Step 6: Final answer
    x = 41,002.34

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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.