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Finding the Fourth Proportional to 52,013.34, 71,778.42 and 28,139.94

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Solution

The fourth proportional to 52,013.34, 71,778.42 and 28,139.94 is: 38,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.34 : 71,778.42 = 28,139.94 : x
  2. Step 2: Convert to fraction form
    52,013.34/71,778.42 = 28,139.94/x
  3. Step 3: Cross multiply
    52,013.34x = 71,778.42 × 28,139.94
  4. Step 4: Simplify right side
    52,013.34x = 2,019,840,432.09
  5. Step 5: Solve for x
    x = 2,019,840,432.09/52,013.34
  6. Step 6: Final answer
    x = 38,833.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.