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Finding the Fourth Proportional to 83,713.57, 115,524.80 and 45,987.82

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Solution

The fourth proportional to 83,713.57, 115,524.80 and 45,987.82 is: 63,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,713.57 : 115,524.80 = 45,987.82 : x
  2. Step 2: Convert to fraction form
    83,713.57/115,524.80 = 45,987.82/x
  3. Step 3: Cross multiply
    83,713.57x = 115,524.80 × 45,987.82
  4. Step 4: Simplify right side
    83,713.57x = 5,312,733,361.64
  5. Step 5: Solve for x
    x = 5,312,733,361.64/83,713.57
  6. Step 6: Final answer
    x = 63,463.23

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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.