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Finding the Fourth Proportional to 24,578.45, 36,867.80 and 6,110.45

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Solution

The fourth proportional to 24,578.45, 36,867.80 and 6,110.45 is: 9,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.45 : 36,867.80 = 6,110.45 : x
  2. Step 2: Convert to fraction form
    24,578.45/36,867.80 = 6,110.45/x
  3. Step 3: Cross multiply
    24,578.45x = 36,867.80 × 6,110.45
  4. Step 4: Simplify right side
    24,578.45x = 225,278,633.62
  5. Step 5: Solve for x
    x = 225,278,633.62/24,578.45
  6. Step 6: Final answer
    x = 9,165.70

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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.