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Finding the Fourth Proportional to 83,226.56, 114,852.80 and 45,500.80

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Solution

The fourth proportional to 83,226.56, 114,852.80 and 45,500.80 is: 62,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.56 : 114,852.80 = 45,500.80 : x
  2. Step 2: Convert to fraction form
    83,226.56/114,852.80 = 45,500.80/x
  3. Step 3: Cross multiply
    83,226.56x = 114,852.80 × 45,500.80
  4. Step 4: Simplify right side
    83,226.56x = 5,225,894,282.24
  5. Step 5: Solve for x
    x = 5,225,894,282.24/83,226.56
  6. Step 6: Final answer
    x = 62,791.18

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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.