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Finding the Fourth Proportional to 53,019.71, 73,167.28 and 29,146.53

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Solution

The fourth proportional to 53,019.71, 73,167.28 and 29,146.53 is: 40,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.71 : 73,167.28 = 29,146.53 : x
  2. Step 2: Convert to fraction form
    53,019.71/73,167.28 = 29,146.53/x
  3. Step 3: Cross multiply
    53,019.71x = 73,167.28 × 29,146.53
  4. Step 4: Simplify right side
    53,019.71x = 2,132,572,321.54
  5. Step 5: Solve for x
    x = 2,132,572,321.54/53,019.71
  6. Step 6: Final answer
    x = 40,222.26

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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.