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Finding the Fourth Proportional to 83,231.50, 114,859.47 and 45,505.75

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Solution

The fourth proportional to 83,231.50, 114,859.47 and 45,505.75 is: 62,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.50 : 114,859.47 = 45,505.75 : x
  2. Step 2: Convert to fraction form
    83,231.50/114,859.47 = 45,505.75/x
  3. Step 3: Cross multiply
    83,231.50x = 114,859.47 × 45,505.75
  4. Step 4: Simplify right side
    83,231.50x = 5,226,766,326.95
  5. Step 5: Solve for x
    x = 5,226,766,326.95/83,231.50
  6. Step 6: Final answer
    x = 62,797.94

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1.5x scale

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.