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Finding the Fourth Proportional to 52,074.61, 71,862.61 and 28,200.74

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Solution

The fourth proportional to 52,074.61, 71,862.61 and 28,200.74 is: 38,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.61 : 71,862.61 = 28,200.74 : x
  2. Step 2: Convert to fraction form
    52,074.61/71,862.61 = 28,200.74/x
  3. Step 3: Cross multiply
    52,074.61x = 71,862.61 × 28,200.74
  4. Step 4: Simplify right side
    52,074.61x = 2,026,578,780.33
  5. Step 5: Solve for x
    x = 2,026,578,780.33/52,074.61
  6. Step 6: Final answer
    x = 38,916.83

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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.