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Finding the Fourth Proportional to 83,920.25, 115,824.33 and 53,704.11

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Solution

The fourth proportional to 83,920.25, 115,824.33 and 53,704.11 is: 74,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.25 : 115,824.33 = 53,704.11 : x
  2. Step 2: Convert to fraction form
    83,920.25/115,824.33 = 53,704.11/x
  3. Step 3: Cross multiply
    83,920.25x = 115,824.33 × 53,704.11
  4. Step 4: Simplify right side
    83,920.25x = 6,220,242,993.34
  5. Step 5: Solve for x
    x = 6,220,242,993.34/83,920.25
  6. Step 6: Final answer
    x = 74,120.88

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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.