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Finding the Fourth Proportional to 83,231.25, 114,859.13 and 45,505.50

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Solution

The fourth proportional to 83,231.25, 114,859.13 and 45,505.50 is: 62,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.25 : 114,859.13 = 45,505.50 : x
  2. Step 2: Convert to fraction form
    83,231.25/114,859.13 = 45,505.50/x
  3. Step 3: Cross multiply
    83,231.25x = 114,859.13 × 45,505.50
  4. Step 4: Simplify right side
    83,231.25x = 5,226,722,140.22
  5. Step 5: Solve for x
    x = 5,226,722,140.22/83,231.25
  6. Step 6: Final answer
    x = 62,797.59

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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.