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Finding the Fourth Proportional to 83,283.54, 114,932.97 and 45,560.22

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Solution

The fourth proportional to 83,283.54, 114,932.97 and 45,560.22 is: 62,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.54 : 114,932.97 = 45,560.22 : x
  2. Step 2: Convert to fraction form
    83,283.54/114,932.97 = 45,560.22/x
  3. Step 3: Cross multiply
    83,283.54x = 114,932.97 × 45,560.22
  4. Step 4: Simplify right side
    83,283.54x = 5,236,371,398.45
  5. Step 5: Solve for x
    x = 5,236,371,398.45/83,283.54
  6. Step 6: Final answer
    x = 62,874.03

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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.