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Finding the Fourth Proportional to 65,714.70, 98,586.09 and 24,161.70

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Solution

The fourth proportional to 65,714.70, 98,586.09 and 24,161.70 is: 36,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.70 : 98,586.09 = 24,161.70 : x
  2. Step 2: Convert to fraction form
    65,714.70/98,586.09 = 24,161.70/x
  3. Step 3: Cross multiply
    65,714.70x = 98,586.09 × 24,161.70
  4. Step 4: Simplify right side
    65,714.70x = 2,382,007,530.75
  5. Step 5: Solve for x
    x = 2,382,007,530.75/65,714.70
  6. Step 6: Final answer
    x = 36,247.71

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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.