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Finding the Fourth Proportional to 38,438.68, 53,049.03 and 24,100.78

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Solution

The fourth proportional to 38,438.68, 53,049.03 and 24,100.78 is: 33,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.68 : 53,049.03 = 24,100.78 : x
  2. Step 2: Convert to fraction form
    38,438.68/53,049.03 = 24,100.78/x
  3. Step 3: Cross multiply
    38,438.68x = 53,049.03 × 24,100.78
  4. Step 4: Simplify right side
    38,438.68x = 1,278,523,001.24
  5. Step 5: Solve for x
    x = 1,278,523,001.24/38,438.68
  6. Step 6: Final answer
    x = 33,261.37

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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.