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Finding the Fourth Proportional to 32,436, 44,761.68 and 22,505.76

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Solution

The fourth proportional to 32,436, 44,761.68 and 22,505.76 is: 31,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,436 : 44,761.68 = 22,505.76 : x
  2. Step 2: Convert to fraction form
    32,436/44,761.68 = 22,505.76/x
  3. Step 3: Cross multiply
    32,436x = 44,761.68 × 22,505.76
  4. Step 4: Simplify right side
    32,436x = 1,007,395,627.28
  5. Step 5: Solve for x
    x = 1,007,395,627.28/32,436
  6. Step 6: Final answer
    x = 31,057.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.