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Finding the Fourth Proportional to 71,593.32, 107,368 and 34,133.64

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Solution

The fourth proportional to 71,593.32, 107,368 and 34,133.64 is: 51,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,593.32 : 107,368 = 34,133.64 : x
  2. Step 2: Convert to fraction form
    71,593.32/107,368 = 34,133.64/x
  3. Step 3: Cross multiply
    71,593.32x = 107,368 × 34,133.64
  4. Step 4: Simplify right side
    71,593.32x = 3,664,860,659.52
  5. Step 5: Solve for x
    x = 3,664,860,659.52/71,593.32
  6. Step 6: Final answer
    x = 51,189.98

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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.