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Finding the Fourth Proportional to 83,559.84, 125,314.88 and 24,379.60

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Solution

The fourth proportional to 83,559.84, 125,314.88 and 24,379.60 is: 36,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,559.84 : 125,314.88 = 24,379.60 : x
  2. Step 2: Convert to fraction form
    83,559.84/125,314.88 = 24,379.60/x
  3. Step 3: Cross multiply
    83,559.84x = 125,314.88 × 24,379.60
  4. Step 4: Simplify right side
    83,559.84x = 3,055,126,648.45
  5. Step 5: Solve for x
    x = 3,055,126,648.45/83,559.84
  6. Step 6: Final answer
    x = 36,562.14

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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.