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Finding the Fourth Proportional to 32,402.40, 48,625.20 and 14,863.20

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Solution

The fourth proportional to 32,402.40, 48,625.20 and 14,863.20 is: 22,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.40 : 48,625.20 = 14,863.20 : x
  2. Step 2: Convert to fraction form
    32,402.40/48,625.20 = 14,863.20/x
  3. Step 3: Cross multiply
    32,402.40x = 48,625.20 × 14,863.20
  4. Step 4: Simplify right side
    32,402.40x = 722,726,072.64
  5. Step 5: Solve for x
    x = 722,726,072.64/32,402.40
  6. Step 6: Final answer
    x = 22,304.71

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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.