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Finding the Fourth Proportional to 83,980.44, 115,908.12 and 48,182.31

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Solution

The fourth proportional to 83,980.44, 115,908.12 and 48,182.31 is: 66,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,980.44 : 115,908.12 = 48,182.31 : x
  2. Step 2: Convert to fraction form
    83,980.44/115,908.12 = 48,182.31/x
  3. Step 3: Cross multiply
    83,980.44x = 115,908.12 × 48,182.31
  4. Step 4: Simplify right side
    83,980.44x = 5,584,720,969.36
  5. Step 5: Solve for x
    x = 5,584,720,969.36/83,980.44
  6. Step 6: Final answer
    x = 66,500.26

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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.