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Finding the Fourth Proportional to 32,141.71, 48,212.57 and 14,616.55

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Solution

The fourth proportional to 32,141.71, 48,212.57 and 14,616.55 is: 21,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.71 : 48,212.57 = 14,616.55 : x
  2. Step 2: Convert to fraction form
    32,141.71/48,212.57 = 14,616.55/x
  3. Step 3: Cross multiply
    32,141.71x = 48,212.57 × 14,616.55
  4. Step 4: Simplify right side
    32,141.71x = 704,701,454.62
  5. Step 5: Solve for x
    x = 704,701,454.62/32,141.71
  6. Step 6: Final answer
    x = 21,924.83

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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.