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Finding the Fourth Proportional to 83,838.45, 115,713.50 and 48,052.45

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Solution

The fourth proportional to 83,838.45, 115,713.50 and 48,052.45 is: 66,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.45 : 115,713.50 = 48,052.45 : x
  2. Step 2: Convert to fraction form
    83,838.45/115,713.50 = 48,052.45/x
  3. Step 3: Cross multiply
    83,838.45x = 115,713.50 × 48,052.45
  4. Step 4: Simplify right side
    83,838.45x = 5,560,317,173.08
  5. Step 5: Solve for x
    x = 5,560,317,173.08/83,838.45
  6. Step 6: Final answer
    x = 66,321.80

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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.