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Finding the Fourth Proportional to 42,216.96, 58,234.02 and 27,876.92

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Solution

The fourth proportional to 42,216.96, 58,234.02 and 27,876.92 is: 38,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216.96 : 58,234.02 = 27,876.92 : x
  2. Step 2: Convert to fraction form
    42,216.96/58,234.02 = 27,876.92/x
  3. Step 3: Cross multiply
    42,216.96x = 58,234.02 × 27,876.92
  4. Step 4: Simplify right side
    42,216.96x = 1,623,385,116.82
  5. Step 5: Solve for x
    x = 1,623,385,116.82/42,216.96
  6. Step 6: Final answer
    x = 38,453.39

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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.