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Finding the Fourth Proportional to 38,591.76, 53,222.24 and 24,253.12

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Solution

The fourth proportional to 38,591.76, 53,222.24 and 24,253.12 is: 33,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.76 : 53,222.24 = 24,253.12 : x
  2. Step 2: Convert to fraction form
    38,591.76/53,222.24 = 24,253.12/x
  3. Step 3: Cross multiply
    38,591.76x = 53,222.24 × 24,253.12
  4. Step 4: Simplify right side
    38,591.76x = 1,290,805,373.39
  5. Step 5: Solve for x
    x = 1,290,805,373.39/38,591.76
  6. Step 6: Final answer
    x = 33,447.69

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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.