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Finding the Fourth Proportional to 83,843.32, 115,698.62 and 48,025.12

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Solution

The fourth proportional to 83,843.32, 115,698.62 and 48,025.12 is: 66,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.32 : 115,698.62 = 48,025.12 : x
  2. Step 2: Convert to fraction form
    83,843.32/115,698.62 = 48,025.12/x
  3. Step 3: Cross multiply
    83,843.32x = 115,698.62 × 48,025.12
  4. Step 4: Simplify right side
    83,843.32x = 5,556,440,109.33
  5. Step 5: Solve for x
    x = 5,556,440,109.33/83,843.32
  6. Step 6: Final answer
    x = 66,271.71

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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.