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Finding the Fourth Proportional to 42,234.48, 58,258.17 and 27,894.42

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Solution

The fourth proportional to 42,234.48, 58,258.17 and 27,894.42 is: 38,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,234.48 : 58,258.17 = 27,894.42 : x
  2. Step 2: Convert to fraction form
    42,234.48/58,258.17 = 27,894.42/x
  3. Step 3: Cross multiply
    42,234.48x = 58,258.17 × 27,894.42
  4. Step 4: Simplify right side
    42,234.48x = 1,625,077,862.41
  5. Step 5: Solve for x
    x = 1,625,077,862.41/42,234.48
  6. Step 6: Final answer
    x = 38,477.52

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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.