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Finding the Fourth Proportional to 83,557.20, 125,447.04 and 48,522

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Solution

The fourth proportional to 83,557.20, 125,447.04 and 48,522 is: 72,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,557.20 : 125,447.04 = 48,522 : x
  2. Step 2: Convert to fraction form
    83,557.20/125,447.04 = 48,522/x
  3. Step 3: Cross multiply
    83,557.20x = 125,447.04 × 48,522
  4. Step 4: Simplify right side
    83,557.20x = 6,086,941,274.88
  5. Step 5: Solve for x
    x = 6,086,941,274.88/83,557.20
  6. Step 6: Final answer
    x = 72,847.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.