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Finding the Fourth Proportional to 49,691.76, 74,572.20 and 32,118

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Solution

The fourth proportional to 49,691.76, 74,572.20 and 32,118 is: 48,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691.76 : 74,572.20 = 32,118 : x
  2. Step 2: Convert to fraction form
    49,691.76/74,572.20 = 32,118/x
  3. Step 3: Cross multiply
    49,691.76x = 74,572.20 × 32,118
  4. Step 4: Simplify right side
    49,691.76x = 2,395,109,919.60
  5. Step 5: Solve for x
    x = 2,395,109,919.60/49,691.76
  6. Step 6: Final answer
    x = 48,199.34

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Why These Related Problems?

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