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Finding the Fourth Proportional to 32,882.34, 49,295.83 and 13,150.14

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Solution

The fourth proportional to 32,882.34, 49,295.83 and 13,150.14 is: 19,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,882.34 : 49,295.83 = 13,150.14 : x
  2. Step 2: Convert to fraction form
    32,882.34/49,295.83 = 13,150.14/x
  3. Step 3: Cross multiply
    32,882.34x = 49,295.83 × 13,150.14
  4. Step 4: Simplify right side
    32,882.34x = 648,246,872.84
  5. Step 5: Solve for x
    x = 648,246,872.84/32,882.34
  6. Step 6: Final answer
    x = 19,714.13

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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.