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Finding the Fourth Proportional to 32,711.94, 49,074.12 and 10,523.70

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Solution

The fourth proportional to 32,711.94, 49,074.12 and 10,523.70 is: 15,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.94 : 49,074.12 = 10,523.70 : x
  2. Step 2: Convert to fraction form
    32,711.94/49,074.12 = 10,523.70/x
  3. Step 3: Cross multiply
    32,711.94x = 49,074.12 × 10,523.70
  4. Step 4: Simplify right side
    32,711.94x = 516,441,316.64
  5. Step 5: Solve for x
    x = 516,441,316.64/32,711.94
  6. Step 6: Final answer
    x = 15,787.55

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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.