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Finding the Fourth Proportional to 83,234.25, 114,863.27 and 45,508.50

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Solution

The fourth proportional to 83,234.25, 114,863.27 and 45,508.50 is: 62,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.25 : 114,863.27 = 45,508.50 : x
  2. Step 2: Convert to fraction form
    83,234.25/114,863.27 = 45,508.50/x
  3. Step 3: Cross multiply
    83,234.25x = 114,863.27 × 45,508.50
  4. Step 4: Simplify right side
    83,234.25x = 5,227,254,895.25
  5. Step 5: Solve for x
    x = 5,227,254,895.25/83,234.25
  6. Step 6: Final answer
    x = 62,801.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.