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Finding the Fourth Proportional to 32,101.44, 48,160.44 and 12,374.70

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Solution

The fourth proportional to 32,101.44, 48,160.44 and 12,374.70 is: 18,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.44 : 48,160.44 = 12,374.70 : x
  2. Step 2: Convert to fraction form
    32,101.44/48,160.44 = 12,374.70/x
  3. Step 3: Cross multiply
    32,101.44x = 48,160.44 × 12,374.70
  4. Step 4: Simplify right side
    32,101.44x = 595,970,996.87
  5. Step 5: Solve for x
    x = 595,970,996.87/32,101.44
  6. Step 6: Final answer
    x = 18,565.24

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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.