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Finding the Fourth Proportional to 83,546.79, 125,325.65 and 24,377.50

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Solution

The fourth proportional to 83,546.79, 125,325.65 and 24,377.50 is: 36,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546.79 : 125,325.65 = 24,377.50 : x
  2. Step 2: Convert to fraction form
    83,546.79/125,325.65 = 24,377.50/x
  3. Step 3: Cross multiply
    83,546.79x = 125,325.65 × 24,377.50
  4. Step 4: Simplify right side
    83,546.79x = 3,055,126,032.88
  5. Step 5: Solve for x
    x = 3,055,126,032.88/83,546.79
  6. Step 6: Final answer
    x = 36,567.84

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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.