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Finding the Fourth Proportional to 91,781.64, 137,644.92 and 32,609.52

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Solution

The fourth proportional to 91,781.64, 137,644.92 and 32,609.52 is: 48,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,781.64 : 137,644.92 = 32,609.52 : x
  2. Step 2: Convert to fraction form
    91,781.64/137,644.92 = 32,609.52/x
  3. Step 3: Cross multiply
    91,781.64x = 137,644.92 × 32,609.52
  4. Step 4: Simplify right side
    91,781.64x = 4,488,534,771.64
  5. Step 5: Solve for x
    x = 4,488,534,771.64/91,781.64
  6. Step 6: Final answer
    x = 48,904.50

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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.