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Finding the Fourth Proportional to 32,874.42, 49,318.11 and 10,686.36

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Solution

The fourth proportional to 32,874.42, 49,318.11 and 10,686.36 is: 16,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.42 : 49,318.11 = 10,686.36 : x
  2. Step 2: Convert to fraction form
    32,874.42/49,318.11 = 10,686.36/x
  3. Step 3: Cross multiply
    32,874.42x = 49,318.11 × 10,686.36
  4. Step 4: Simplify right side
    32,874.42x = 527,031,077.98
  5. Step 5: Solve for x
    x = 527,031,077.98/32,874.42
  6. Step 6: Final answer
    x = 16,031.65

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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.