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Finding the Fourth Proportional to 82,693.12, 114,121.48 and 48,724.24

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Solution

The fourth proportional to 82,693.12, 114,121.48 and 48,724.24 is: 67,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,693.12 : 114,121.48 = 48,724.24 : x
  2. Step 2: Convert to fraction form
    82,693.12/114,121.48 = 48,724.24/x
  3. Step 3: Cross multiply
    82,693.12x = 114,121.48 × 48,724.24
  4. Step 4: Simplify right side
    82,693.12x = 5,560,482,380.68
  5. Step 5: Solve for x
    x = 5,560,482,380.68/82,693.12
  6. Step 6: Final answer
    x = 67,242.38

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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.