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Finding the Fourth Proportional to 32,471.35, 48,706.69 and 10,284.72

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Solution

The fourth proportional to 32,471.35, 48,706.69 and 10,284.72 is: 15,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.35 : 48,706.69 = 10,284.72 : x
  2. Step 2: Convert to fraction form
    32,471.35/48,706.69 = 10,284.72/x
  3. Step 3: Cross multiply
    32,471.35x = 48,706.69 × 10,284.72
  4. Step 4: Simplify right side
    32,471.35x = 500,934,668.78
  5. Step 5: Solve for x
    x = 500,934,668.78/32,471.35
  6. Step 6: Final answer
    x = 15,426.97

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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.