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Finding the Fourth Proportional to 42,264.78, 58,324.88 and 23,144.34

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Solution

The fourth proportional to 42,264.78, 58,324.88 and 23,144.34 is: 31,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264.78 : 58,324.88 = 23,144.34 : x
  2. Step 2: Convert to fraction form
    42,264.78/58,324.88 = 23,144.34/x
  3. Step 3: Cross multiply
    42,264.78x = 58,324.88 × 23,144.34
  4. Step 4: Simplify right side
    42,264.78x = 1,349,890,853.18
  5. Step 5: Solve for x
    x = 1,349,890,853.18/42,264.78
  6. Step 6: Final answer
    x = 31,938.91

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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.