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Finding the Fourth Proportional to 32,744.34, 49,084.85 and 10,542.65

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Solution

The fourth proportional to 32,744.34, 49,084.85 and 10,542.65 is: 15,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.34 : 49,084.85 = 10,542.65 : x
  2. Step 2: Convert to fraction form
    32,744.34/49,084.85 = 10,542.65/x
  3. Step 3: Cross multiply
    32,744.34x = 49,084.85 × 10,542.65
  4. Step 4: Simplify right side
    32,744.34x = 517,484,174.78
  5. Step 5: Solve for x
    x = 517,484,174.78/32,744.34
  6. Step 6: Final answer
    x = 15,803.77

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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.