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Finding the Fourth Proportional to 83,525.32, 125,287.98 and 20,345.05

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Solution

The fourth proportional to 83,525.32, 125,287.98 and 20,345.05 is: 30,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,525.32 : 125,287.98 = 20,345.05 : x
  2. Step 2: Convert to fraction form
    83,525.32/125,287.98 = 20,345.05/x
  3. Step 3: Cross multiply
    83,525.32x = 125,287.98 × 20,345.05
  4. Step 4: Simplify right side
    83,525.32x = 2,548,990,217.50
  5. Step 5: Solve for x
    x = 2,548,990,217.50/83,525.32
  6. Step 6: Final answer
    x = 30,517.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.