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Finding the Fourth Proportional to 71,536.62, 107,280.15 and 35,984.20

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Solution

The fourth proportional to 71,536.62, 107,280.15 and 35,984.20 is: 53,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,536.62 : 107,280.15 = 35,984.20 : x
  2. Step 2: Convert to fraction form
    71,536.62/107,280.15 = 35,984.20/x
  3. Step 3: Cross multiply
    71,536.62x = 107,280.15 × 35,984.20
  4. Step 4: Simplify right side
    71,536.62x = 3,860,390,171.64
  5. Step 5: Solve for x
    x = 3,860,390,171.64/71,536.62
  6. Step 6: Final answer
    x = 53,963.83

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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.