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Finding the Fourth Proportional to 32,632.81, 48,963.17 and 13,661.87

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Solution

The fourth proportional to 32,632.81, 48,963.17 and 13,661.87 is: 20,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.81 : 48,963.17 = 13,661.87 : x
  2. Step 2: Convert to fraction form
    32,632.81/48,963.17 = 13,661.87/x
  3. Step 3: Cross multiply
    32,632.81x = 48,963.17 × 13,661.87
  4. Step 4: Simplify right side
    32,632.81x = 668,928,517.43
  5. Step 5: Solve for x
    x = 668,928,517.43/32,632.81
  6. Step 6: Final answer
    x = 20,498.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.