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Finding the Fourth Proportional to 38,436.82, 53,076.17 and 24,121.46

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Solution

The fourth proportional to 38,436.82, 53,076.17 and 24,121.46 is: 33,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.82 : 53,076.17 = 24,121.46 : x
  2. Step 2: Convert to fraction form
    38,436.82/53,076.17 = 24,121.46/x
  3. Step 3: Cross multiply
    38,436.82x = 53,076.17 × 24,121.46
  4. Step 4: Simplify right side
    38,436.82x = 1,280,274,591.00
  5. Step 5: Solve for x
    x = 1,280,274,591.00/38,436.82
  6. Step 6: Final answer
    x = 33,308.55

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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.