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Finding the Fourth Proportional to 34,714.92, 52,017.78 and 26,836.68

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Solution

The fourth proportional to 34,714.92, 52,017.78 and 26,836.68 is: 40,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.92 : 52,017.78 = 26,836.68 : x
  2. Step 2: Convert to fraction form
    34,714.92/52,017.78 = 26,836.68/x
  3. Step 3: Cross multiply
    34,714.92x = 52,017.78 × 26,836.68
  4. Step 4: Simplify right side
    34,714.92x = 1,395,984,516.17
  5. Step 5: Solve for x
    x = 1,395,984,516.17/34,714.92
  6. Step 6: Final answer
    x = 40,212.81

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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.