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Finding the Fourth Proportional to 52,013.52, 71,778.54 and 29,352.44

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Solution

The fourth proportional to 52,013.52, 71,778.54 and 29,352.44 is: 40,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.52 : 71,778.54 = 29,352.44 : x
  2. Step 2: Convert to fraction form
    52,013.52/71,778.54 = 29,352.44/x
  3. Step 3: Cross multiply
    52,013.52x = 71,778.54 × 29,352.44
  4. Step 4: Simplify right side
    52,013.52x = 2,106,875,502.54
  5. Step 5: Solve for x
    x = 2,106,875,502.54/52,013.52
  6. Step 6: Final answer
    x = 40,506.30

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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.