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Finding the Fourth Proportional to 31,776.68, 47,665.02 and 11,000.18

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Solution

The fourth proportional to 31,776.68, 47,665.02 and 11,000.18 is: 16,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.68 : 47,665.02 = 11,000.18 : x
  2. Step 2: Convert to fraction form
    31,776.68/47,665.02 = 11,000.18/x
  3. Step 3: Cross multiply
    31,776.68x = 47,665.02 × 11,000.18
  4. Step 4: Simplify right side
    31,776.68x = 524,323,799.70
  5. Step 5: Solve for x
    x = 524,323,799.70/31,776.68
  6. Step 6: Final answer
    x = 16,500.27

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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.