Home / 31,778.14-47,524.01-24,283.90

Finding the Fourth Proportional to 31,778.14, 47,524.01 and 24,283.90

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Solution

The fourth proportional to 31,778.14, 47,524.01 and 24,283.90 is: 36,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.14 : 47,524.01 = 24,283.90 : x
  2. Step 2: Convert to fraction form
    31,778.14/47,524.01 = 24,283.90/x
  3. Step 3: Cross multiply
    31,778.14x = 47,524.01 × 24,283.90
  4. Step 4: Simplify right side
    31,778.14x = 1,154,068,306.44
  5. Step 5: Solve for x
    x = 1,154,068,306.44/31,778.14
  6. Step 6: Final answer
    x = 36,316.42

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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.