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Finding the Fourth Proportional to 49,514.60, 74,337.82 and 28,753

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Solution

The fourth proportional to 49,514.60, 74,337.82 and 28,753 is: 43,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,514.60 : 74,337.82 = 28,753 : x
  2. Step 2: Convert to fraction form
    49,514.60/74,337.82 = 28,753/x
  3. Step 3: Cross multiply
    49,514.60x = 74,337.82 × 28,753
  4. Step 4: Simplify right side
    49,514.60x = 2,137,435,338.46
  5. Step 5: Solve for x
    x = 2,137,435,338.46/49,514.60
  6. Step 6: Final answer
    x = 43,167.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.