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Finding the Fourth Proportional to 53,019.52, 73,166.96 and 29,146

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Solution

The fourth proportional to 53,019.52, 73,166.96 and 29,146 is: 40,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.52 : 73,166.96 = 29,146 : x
  2. Step 2: Convert to fraction form
    53,019.52/73,166.96 = 29,146/x
  3. Step 3: Cross multiply
    53,019.52x = 73,166.96 × 29,146
  4. Step 4: Simplify right side
    53,019.52x = 2,132,524,216.16
  5. Step 5: Solve for x
    x = 2,132,524,216.16/53,019.52
  6. Step 6: Final answer
    x = 40,221.49

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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.