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Finding the Fourth Proportional to 42,202.62, 58,237.26 and 23,078.62

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Solution

The fourth proportional to 42,202.62, 58,237.26 and 23,078.62 is: 31,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.62 : 58,237.26 = 23,078.62 : x
  2. Step 2: Convert to fraction form
    42,202.62/58,237.26 = 23,078.62/x
  3. Step 3: Cross multiply
    42,202.62x = 58,237.26 × 23,078.62
  4. Step 4: Simplify right side
    42,202.62x = 1,344,035,593.38
  5. Step 5: Solve for x
    x = 1,344,035,593.38/42,202.62
  6. Step 6: Final answer
    x = 31,847.21

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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.