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Finding the Fourth Proportional to 32,723.52, 49,102.89 and 13,002.24

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Solution

The fourth proportional to 32,723.52, 49,102.89 and 13,002.24 is: 19,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,723.52 : 49,102.89 = 13,002.24 : x
  2. Step 2: Convert to fraction form
    32,723.52/49,102.89 = 13,002.24/x
  3. Step 3: Cross multiply
    32,723.52x = 49,102.89 × 13,002.24
  4. Step 4: Simplify right side
    32,723.52x = 638,447,560.47
  5. Step 5: Solve for x
    x = 638,447,560.47/32,723.52
  6. Step 6: Final answer
    x = 19,510.36

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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.