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Finding the Fourth Proportional to 32,874.67, 49,318.49 and 10,686.61

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Solution

The fourth proportional to 32,874.67, 49,318.49 and 10,686.61 is: 16,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.67 : 49,318.49 = 10,686.61 : x
  2. Step 2: Convert to fraction form
    32,874.67/49,318.49 = 10,686.61/x
  3. Step 3: Cross multiply
    32,874.67x = 49,318.49 × 10,686.61
  4. Step 4: Simplify right side
    32,874.67x = 527,047,468.42
  5. Step 5: Solve for x
    x = 527,047,468.42/32,874.67
  6. Step 6: Final answer
    x = 16,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.