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Finding the Fourth Proportional to 42,806, 59,072.28 and 27,902

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Solution

The fourth proportional to 42,806, 59,072.28 and 27,902 is: 38,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806 : 59,072.28 = 27,902 : x
  2. Step 2: Convert to fraction form
    42,806/59,072.28 = 27,902/x
  3. Step 3: Cross multiply
    42,806x = 59,072.28 × 27,902
  4. Step 4: Simplify right side
    42,806x = 1,648,234,756.56
  5. Step 5: Solve for x
    x = 1,648,234,756.56/42,806
  6. Step 6: Final answer
    x = 38,504.76

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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.