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Finding the Fourth Proportional to 68,714.10, 103,034.70 and 24,342.30

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Solution

The fourth proportional to 68,714.10, 103,034.70 and 24,342.30 is: 36,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714.10 : 103,034.70 = 24,342.30 : x
  2. Step 2: Convert to fraction form
    68,714.10/103,034.70 = 24,342.30/x
  3. Step 3: Cross multiply
    68,714.10x = 103,034.70 × 24,342.30
  4. Step 4: Simplify right side
    68,714.10x = 2,508,101,577.81
  5. Step 5: Solve for x
    x = 2,508,101,577.81/68,714.10
  6. Step 6: Final answer
    x = 36,500.54

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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.