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Finding the Fourth Proportional to 52,713, 72,743.52 and 29,741.16

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Solution

The fourth proportional to 52,713, 72,743.52 and 29,741.16 is: 41,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,713 : 72,743.52 = 29,741.16 : x
  2. Step 2: Convert to fraction form
    52,713/72,743.52 = 29,741.16/x
  3. Step 3: Cross multiply
    52,713x = 72,743.52 × 29,741.16
  4. Step 4: Simplify right side
    52,713x = 2,163,476,667.28
  5. Step 5: Solve for x
    x = 2,163,476,667.28/52,713
  6. Step 6: Final answer
    x = 41,042.56

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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.