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Finding the Fourth Proportional to 32,146.87, 48,220.31 and 14,621.71

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Solution

The fourth proportional to 32,146.87, 48,220.31 and 14,621.71 is: 21,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.87 : 48,220.31 = 14,621.71 : x
  2. Step 2: Convert to fraction form
    32,146.87/48,220.31 = 14,621.71/x
  3. Step 3: Cross multiply
    32,146.87x = 48,220.31 × 14,621.71
  4. Step 4: Simplify right side
    32,146.87x = 705,063,304.93
  5. Step 5: Solve for x
    x = 705,063,304.93/32,146.87
  6. Step 6: Final answer
    x = 21,932.57

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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.