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Finding the Fourth Proportional to 83,166.75, 114,772.95 and 45,443.43

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Solution

The fourth proportional to 83,166.75, 114,772.95 and 45,443.43 is: 62,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166.75 : 114,772.95 = 45,443.43 : x
  2. Step 2: Convert to fraction form
    83,166.75/114,772.95 = 45,443.43/x
  3. Step 3: Cross multiply
    83,166.75x = 114,772.95 × 45,443.43
  4. Step 4: Simplify right side
    83,166.75x = 5,215,676,519.22
  5. Step 5: Solve for x
    x = 5,215,676,519.22/83,166.75
  6. Step 6: Final answer
    x = 62,713.48

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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.