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Finding the Fourth Proportional to 83,234.63, 114,863.79 and 45,508.88

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Solution

The fourth proportional to 83,234.63, 114,863.79 and 45,508.88 is: 62,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.63 : 114,863.79 = 45,508.88 : x
  2. Step 2: Convert to fraction form
    83,234.63/114,863.79 = 45,508.88/x
  3. Step 3: Cross multiply
    83,234.63x = 114,863.79 × 45,508.88
  4. Step 4: Simplify right side
    83,234.63x = 5,227,321,861.14
  5. Step 5: Solve for x
    x = 5,227,321,861.14/83,234.63
  6. Step 6: Final answer
    x = 62,802.25

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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.