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Finding the Fourth Proportional to 83,525.40, 125,282.34 and 39,162

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Solution

The fourth proportional to 83,525.40, 125,282.34 and 39,162 is: 58,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,525.40 : 125,282.34 = 39,162 : x
  2. Step 2: Convert to fraction form
    83,525.40/125,282.34 = 39,162/x
  3. Step 3: Cross multiply
    83,525.40x = 125,282.34 × 39,162
  4. Step 4: Simplify right side
    83,525.40x = 4,906,306,999.08
  5. Step 5: Solve for x
    x = 4,906,306,999.08/83,525.40
  6. Step 6: Final answer
    x = 58,740.30

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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.