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Finding the Fourth Proportional to 71,577.60, 107,452.80 and 71,059.20

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Solution

The fourth proportional to 71,577.60, 107,452.80 and 71,059.20 is: 106,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577.60 : 107,452.80 = 71,059.20 : x
  2. Step 2: Convert to fraction form
    71,577.60/107,452.80 = 71,059.20/x
  3. Step 3: Cross multiply
    71,577.60x = 107,452.80 × 71,059.20
  4. Step 4: Simplify right side
    71,577.60x = 7,635,510,005.76
  5. Step 5: Solve for x
    x = 7,635,510,005.76/71,577.60
  6. Step 6: Final answer
    x = 106,674.57

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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.