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Finding the Fourth Proportional to 38,335.40, 57,503.10 and 33,414.65

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Solution

The fourth proportional to 38,335.40, 57,503.10 and 33,414.65 is: 50,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,335.40 : 57,503.10 = 33,414.65 : x
  2. Step 2: Convert to fraction form
    38,335.40/57,503.10 = 33,414.65/x
  3. Step 3: Cross multiply
    38,335.40x = 57,503.10 × 33,414.65
  4. Step 4: Simplify right side
    38,335.40x = 1,921,445,960.42
  5. Step 5: Solve for x
    x = 1,921,445,960.42/38,335.40
  6. Step 6: Final answer
    x = 50,121.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.