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Finding the Fourth Proportional to 83,274.92, 114,922.11 and 45,549.14

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Solution

The fourth proportional to 83,274.92, 114,922.11 and 45,549.14 is: 62,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.92 : 114,922.11 = 45,549.14 : x
  2. Step 2: Convert to fraction form
    83,274.92/114,922.11 = 45,549.14/x
  3. Step 3: Cross multiply
    83,274.92x = 114,922.11 × 45,549.14
  4. Step 4: Simplify right side
    83,274.92x = 5,234,603,277.49
  5. Step 5: Solve for x
    x = 5,234,603,277.49/83,274.92
  6. Step 6: Final answer
    x = 62,859.30

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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.