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Finding the Fourth Proportional to 53,414.81, 73,706.03 and 29,538.23

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Solution

The fourth proportional to 53,414.81, 73,706.03 and 29,538.23 is: 40,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,414.81 : 73,706.03 = 29,538.23 : x
  2. Step 2: Convert to fraction form
    53,414.81/73,706.03 = 29,538.23/x
  3. Step 3: Cross multiply
    53,414.81x = 73,706.03 × 29,538.23
  4. Step 4: Simplify right side
    53,414.81x = 2,177,145,666.53
  5. Step 5: Solve for x
    x = 2,177,145,666.53/53,414.81
  6. Step 6: Final answer
    x = 40,759.22

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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.