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Finding the Fourth Proportional to 32,454.56, 48,686.61 and 10,262.90

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Solution

The fourth proportional to 32,454.56, 48,686.61 and 10,262.90 is: 15,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454.56 : 48,686.61 = 10,262.90 : x
  2. Step 2: Convert to fraction form
    32,454.56/48,686.61 = 10,262.90/x
  3. Step 3: Cross multiply
    32,454.56x = 48,686.61 × 10,262.90
  4. Step 4: Simplify right side
    32,454.56x = 499,665,809.77
  5. Step 5: Solve for x
    x = 499,665,809.77/32,454.56
  6. Step 6: Final answer
    x = 15,395.86

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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.