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Finding the Fourth Proportional to 71,385.20, 107,077.80 and 32,019.20

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Solution

The fourth proportional to 71,385.20, 107,077.80 and 32,019.20 is: 48,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,385.20 : 107,077.80 = 32,019.20 : x
  2. Step 2: Convert to fraction form
    71,385.20/107,077.80 = 32,019.20/x
  3. Step 3: Cross multiply
    71,385.20x = 107,077.80 × 32,019.20
  4. Step 4: Simplify right side
    71,385.20x = 3,428,545,493.76
  5. Step 5: Solve for x
    x = 3,428,545,493.76/71,385.20
  6. Step 6: Final answer
    x = 48,028.80

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1.5x scale

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.