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Finding the Fourth Proportional to 38,809.28, 53,591.76 and 24,494.45

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Solution

The fourth proportional to 38,809.28, 53,591.76 and 24,494.45 is: 33,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,809.28 : 53,591.76 = 24,494.45 : x
  2. Step 2: Convert to fraction form
    38,809.28/53,591.76 = 24,494.45/x
  3. Step 3: Cross multiply
    38,809.28x = 53,591.76 × 24,494.45
  4. Step 4: Simplify right side
    38,809.28x = 1,312,700,685.73
  5. Step 5: Solve for x
    x = 1,312,700,685.73/38,809.28
  6. Step 6: Final answer
    x = 33,824.40

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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.