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Finding the Fourth Proportional to 83,274.75, 114,920.78 and 45,549.81

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Solution

The fourth proportional to 83,274.75, 114,920.78 and 45,549.81 is: 62,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.75 : 114,920.78 = 45,549.81 : x
  2. Step 2: Convert to fraction form
    83,274.75/114,920.78 = 45,549.81/x
  3. Step 3: Cross multiply
    83,274.75x = 114,920.78 × 45,549.81
  4. Step 4: Simplify right side
    83,274.75x = 5,234,619,466.30
  5. Step 5: Solve for x
    x = 5,234,619,466.30/83,274.75
  6. Step 6: Final answer
    x = 62,859.62

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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.