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Finding the Fourth Proportional to 52,451.67, 72,382.39 and 28,578.52

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Solution

The fourth proportional to 52,451.67, 72,382.39 and 28,578.52 is: 39,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,451.67 : 72,382.39 = 28,578.52 : x
  2. Step 2: Convert to fraction form
    52,451.67/72,382.39 = 28,578.52/x
  3. Step 3: Cross multiply
    52,451.67x = 72,382.39 × 28,578.52
  4. Step 4: Simplify right side
    52,451.67x = 2,068,581,327.86
  5. Step 5: Solve for x
    x = 2,068,581,327.86/52,451.67
  6. Step 6: Final answer
    x = 39,437.85

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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.