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Finding the Fourth Proportional to 80,497.74, 120,589.53 and 52,711.50

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Solution

The fourth proportional to 80,497.74, 120,589.53 and 52,711.50 is: 78,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497.74 : 120,589.53 = 52,711.50 : x
  2. Step 2: Convert to fraction form
    80,497.74/120,589.53 = 52,711.50/x
  3. Step 3: Cross multiply
    80,497.74x = 120,589.53 × 52,711.50
  4. Step 4: Simplify right side
    80,497.74x = 6,356,455,010.60
  5. Step 5: Solve for x
    x = 6,356,455,010.60/80,497.74
  6. Step 6: Final answer
    x = 78,964.39

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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.