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Finding the Fourth Proportional to 24,578.25, 36,867.51 and 6,110.25

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Solution

The fourth proportional to 24,578.25, 36,867.51 and 6,110.25 is: 9,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.25 : 36,867.51 = 6,110.25 : x
  2. Step 2: Convert to fraction form
    24,578.25/36,867.51 = 6,110.25/x
  3. Step 3: Cross multiply
    24,578.25x = 36,867.51 × 6,110.25
  4. Step 4: Simplify right side
    24,578.25x = 225,269,702.98
  5. Step 5: Solve for x
    x = 225,269,702.98/24,578.25
  6. Step 6: Final answer
    x = 9,165.41

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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.