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Finding the Fourth Proportional to 71,781.03, 107,671.56 and 32,292

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Solution

The fourth proportional to 71,781.03, 107,671.56 and 32,292 is: 48,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.03 : 107,671.56 = 32,292 : x
  2. Step 2: Convert to fraction form
    71,781.03/107,671.56 = 32,292/x
  3. Step 3: Cross multiply
    71,781.03x = 107,671.56 × 32,292
  4. Step 4: Simplify right side
    71,781.03x = 3,476,930,015.52
  5. Step 5: Solve for x
    x = 3,476,930,015.52/71,781.03
  6. Step 6: Final answer
    x = 48,438.01

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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.