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Finding the Fourth Proportional to 42,143.38, 58,156.89 and 23,023.22

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Solution

The fourth proportional to 42,143.38, 58,156.89 and 23,023.22 is: 31,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143.38 : 58,156.89 = 23,023.22 : x
  2. Step 2: Convert to fraction form
    42,143.38/58,156.89 = 23,023.22/x
  3. Step 3: Cross multiply
    42,143.38x = 58,156.89 × 23,023.22
  4. Step 4: Simplify right side
    42,143.38x = 1,338,958,516.31
  5. Step 5: Solve for x
    x = 1,338,958,516.31/42,143.38
  6. Step 6: Final answer
    x = 31,771.51

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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.