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Finding the Fourth Proportional to 83,778.56, 115,621.44 and 46,059.92

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Solution

The fourth proportional to 83,778.56, 115,621.44 and 46,059.92 is: 63,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.56 : 115,621.44 = 46,059.92 : x
  2. Step 2: Convert to fraction form
    83,778.56/115,621.44 = 46,059.92/x
  3. Step 3: Cross multiply
    83,778.56x = 115,621.44 × 46,059.92
  4. Step 4: Simplify right side
    83,778.56x = 5,325,514,276.68
  5. Step 5: Solve for x
    x = 5,325,514,276.68/83,778.56
  6. Step 6: Final answer
    x = 63,566.55

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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.