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Finding the Fourth Proportional to 68,541.72, 102,820.80 and 24,159.30

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Solution

The fourth proportional to 68,541.72, 102,820.80 and 24,159.30 is: 36,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541.72 : 102,820.80 = 24,159.30 : x
  2. Step 2: Convert to fraction form
    68,541.72/102,820.80 = 24,159.30/x
  3. Step 3: Cross multiply
    68,541.72x = 102,820.80 × 24,159.30
  4. Step 4: Simplify right side
    68,541.72x = 2,484,078,553.44
  5. Step 5: Solve for x
    x = 2,484,078,553.44/68,541.72
  6. Step 6: Final answer
    x = 36,241.85

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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.