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Finding the Fourth Proportional to 32,517.50, 48,776.27 and 9,143.94

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Solution

The fourth proportional to 32,517.50, 48,776.27 and 9,143.94 is: 13,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.50 : 48,776.27 = 9,143.94 : x
  2. Step 2: Convert to fraction form
    32,517.50/48,776.27 = 9,143.94/x
  3. Step 3: Cross multiply
    32,517.50x = 48,776.27 × 9,143.94
  4. Step 4: Simplify right side
    32,517.50x = 446,006,996.70
  5. Step 5: Solve for x
    x = 446,006,996.70/32,517.50
  6. Step 6: Final answer
    x = 13,715.91

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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.