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Finding the Fourth Proportional to 32,699.52, 49,049.28 and 11,923.04

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Solution

The fourth proportional to 32,699.52, 49,049.28 and 11,923.04 is: 17,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.52 : 49,049.28 = 11,923.04 : x
  2. Step 2: Convert to fraction form
    32,699.52/49,049.28 = 11,923.04/x
  3. Step 3: Cross multiply
    32,699.52x = 49,049.28 × 11,923.04
  4. Step 4: Simplify right side
    32,699.52x = 584,816,527.41
  5. Step 5: Solve for x
    x = 584,816,527.41/32,699.52
  6. Step 6: Final answer
    x = 17,884.56

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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.