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Finding the Fourth Proportional to 32,728.24, 49,063.74 and 11,665

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Solution

The fourth proportional to 32,728.24, 49,063.74 and 11,665 is: 17,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.24 : 49,063.74 = 11,665 : x
  2. Step 2: Convert to fraction form
    32,728.24/49,063.74 = 11,665/x
  3. Step 3: Cross multiply
    32,728.24x = 49,063.74 × 11,665
  4. Step 4: Simplify right side
    32,728.24x = 572,328,527.10
  5. Step 5: Solve for x
    x = 572,328,527.10/32,728.24
  6. Step 6: Final answer
    x = 17,487.30

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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.