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Finding the Fourth Proportional to 32,678.20, 49,037.46 and 15,144.76

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Solution

The fourth proportional to 32,678.20, 49,037.46 and 15,144.76 is: 22,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.20 : 49,037.46 = 15,144.76 : x
  2. Step 2: Convert to fraction form
    32,678.20/49,037.46 = 15,144.76/x
  3. Step 3: Cross multiply
    32,678.20x = 49,037.46 × 15,144.76
  4. Step 4: Simplify right side
    32,678.20x = 742,660,562.71
  5. Step 5: Solve for x
    x = 742,660,562.71/32,678.20
  6. Step 6: Final answer
    x = 22,726.48

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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.