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Finding the Fourth Proportional to 83,409.71, 125,116.61 and 24,245.88

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Solution

The fourth proportional to 83,409.71, 125,116.61 and 24,245.88 is: 36,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.71 : 125,116.61 = 24,245.88 : x
  2. Step 2: Convert to fraction form
    83,409.71/125,116.61 = 24,245.88/x
  3. Step 3: Cross multiply
    83,409.71x = 125,116.61 × 24,245.88
  4. Step 4: Simplify right side
    83,409.71x = 3,033,562,190.84
  5. Step 5: Solve for x
    x = 3,033,562,190.84/83,409.71
  6. Step 6: Final answer
    x = 36,369.42

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Why These Related Problems?

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