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Finding the Fourth Proportional to 83,116.32, 114,695.04 and 45,390.48

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Solution

The fourth proportional to 83,116.32, 114,695.04 and 45,390.48 is: 62,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.32 : 114,695.04 = 45,390.48 : x
  2. Step 2: Convert to fraction form
    83,116.32/114,695.04 = 45,390.48/x
  3. Step 3: Cross multiply
    83,116.32x = 114,695.04 × 45,390.48
  4. Step 4: Simplify right side
    83,116.32x = 5,206,062,919.22
  5. Step 5: Solve for x
    x = 5,206,062,919.22/83,116.32
  6. Step 6: Final answer
    x = 62,635.87

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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.