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Finding the Fourth Proportional to 68,841.60, 103,264.56 and 24,467.64

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Solution

The fourth proportional to 68,841.60, 103,264.56 and 24,467.64 is: 36,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,841.60 : 103,264.56 = 24,467.64 : x
  2. Step 2: Convert to fraction form
    68,841.60/103,264.56 = 24,467.64/x
  3. Step 3: Cross multiply
    68,841.60x = 103,264.56 × 24,467.64
  4. Step 4: Simplify right side
    68,841.60x = 2,526,640,078.84
  5. Step 5: Solve for x
    x = 2,526,640,078.84/68,841.60
  6. Step 6: Final answer
    x = 36,702.23

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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.