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Finding the Fourth Proportional to 32,593.16, 48,881.90 and 15,046.14

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Solution

The fourth proportional to 32,593.16, 48,881.90 and 15,046.14 is: 22,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,593.16 : 48,881.90 = 15,046.14 : x
  2. Step 2: Convert to fraction form
    32,593.16/48,881.90 = 15,046.14/x
  3. Step 3: Cross multiply
    32,593.16x = 48,881.90 × 15,046.14
  4. Step 4: Simplify right side
    32,593.16x = 735,483,910.87
  5. Step 5: Solve for x
    x = 735,483,910.87/32,593.16
  6. Step 6: Final answer
    x = 22,565.59

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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.