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Finding the Fourth Proportional to 71,978.13, 107,967.20 and 36,895.41

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Solution

The fourth proportional to 71,978.13, 107,967.20 and 36,895.41 is: 55,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.13 : 107,967.20 = 36,895.41 : x
  2. Step 2: Convert to fraction form
    71,978.13/107,967.20 = 36,895.41/x
  3. Step 3: Cross multiply
    71,978.13x = 107,967.20 × 36,895.41
  4. Step 4: Simplify right side
    71,978.13x = 3,983,494,110.55
  5. Step 5: Solve for x
    x = 3,983,494,110.55/71,978.13
  6. Step 6: Final answer
    x = 55,343.12

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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.