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Finding the Fourth Proportional to 53,419.82, 73,712.96 and 29,543.24

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Solution

The fourth proportional to 53,419.82, 73,712.96 and 29,543.24 is: 40,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,419.82 : 73,712.96 = 29,543.24 : x
  2. Step 2: Convert to fraction form
    53,419.82/73,712.96 = 29,543.24/x
  3. Step 3: Cross multiply
    53,419.82x = 73,712.96 × 29,543.24
  4. Step 4: Simplify right side
    53,419.82x = 2,177,719,668.39
  5. Step 5: Solve for x
    x = 2,177,719,668.39/53,419.82
  6. Step 6: Final answer
    x = 40,766.14

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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.