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Finding the Fourth Proportional to 54,862.68, 75,710.64 and 29,712.18

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Solution

The fourth proportional to 54,862.68, 75,710.64 and 29,712.18 is: 41,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.68 : 75,710.64 = 29,712.18 : x
  2. Step 2: Convert to fraction form
    54,862.68/75,710.64 = 29,712.18/x
  3. Step 3: Cross multiply
    54,862.68x = 75,710.64 × 29,712.18
  4. Step 4: Simplify right side
    54,862.68x = 2,249,528,163.60
  5. Step 5: Solve for x
    x = 2,249,528,163.60/54,862.68
  6. Step 6: Final answer
    x = 41,002.89

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