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Finding the Fourth Proportional to 73,798.60, 110,689.70 and 26,411.78

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Solution

The fourth proportional to 73,798.60, 110,689.70 and 26,411.78 is: 39,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,798.60 : 110,689.70 = 26,411.78 : x
  2. Step 2: Convert to fraction form
    73,798.60/110,689.70 = 26,411.78/x
  3. Step 3: Cross multiply
    73,798.60x = 110,689.70 × 26,411.78
  4. Step 4: Simplify right side
    73,798.60x = 2,923,511,319.16
  5. Step 5: Solve for x
    x = 2,923,511,319.16/73,798.60
  6. Step 6: Final answer
    x = 39,614.73

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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.