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Finding the Fourth Proportional to 95,853.90, 143,780.13 and 24,770.46

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Solution

The fourth proportional to 95,853.90, 143,780.13 and 24,770.46 is: 37,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,853.90 : 143,780.13 = 24,770.46 : x
  2. Step 2: Convert to fraction form
    95,853.90/143,780.13 = 24,770.46/x
  3. Step 3: Cross multiply
    95,853.90x = 143,780.13 × 24,770.46
  4. Step 4: Simplify right side
    95,853.90x = 3,561,499,958.96
  5. Step 5: Solve for x
    x = 3,561,499,958.96/95,853.90
  6. Step 6: Final answer
    x = 37,155.50

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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.