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Finding the Fourth Proportional to 83,226.71, 114,852.84 and 45,500.96

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Solution

The fourth proportional to 83,226.71, 114,852.84 and 45,500.96 is: 62,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.71 : 114,852.84 = 45,500.96 : x
  2. Step 2: Convert to fraction form
    83,226.71/114,852.84 = 45,500.96/x
  3. Step 3: Cross multiply
    83,226.71x = 114,852.84 × 45,500.96
  4. Step 4: Simplify right side
    83,226.71x = 5,225,914,478.73
  5. Step 5: Solve for x
    x = 5,225,914,478.73/83,226.71
  6. Step 6: Final answer
    x = 62,791.31

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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.