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Finding the Fourth Proportional to 83,058, 114,623.20 and 47,251.28

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Solution

The fourth proportional to 83,058, 114,623.20 and 47,251.28 is: 65,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058 : 114,623.20 = 47,251.28 : x
  2. Step 2: Convert to fraction form
    83,058/114,623.20 = 47,251.28/x
  3. Step 3: Cross multiply
    83,058x = 114,623.20 × 47,251.28
  4. Step 4: Simplify right side
    83,058x = 5,416,092,917.70
  5. Step 5: Solve for x
    x = 5,416,092,917.70/83,058
  6. Step 6: Final answer
    x = 65,208.56

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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.