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Finding the Fourth Proportional to 83,234.88, 114,872.04 and 45,514.80

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Solution

The fourth proportional to 83,234.88, 114,872.04 and 45,514.80 is: 62,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.88 : 114,872.04 = 45,514.80 : x
  2. Step 2: Convert to fraction form
    83,234.88/114,872.04 = 45,514.80/x
  3. Step 3: Cross multiply
    83,234.88x = 114,872.04 × 45,514.80
  4. Step 4: Simplify right side
    83,234.88x = 5,228,377,926.19
  5. Step 5: Solve for x
    x = 5,228,377,926.19/83,234.88
  6. Step 6: Final answer
    x = 62,814.75

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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.