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Finding the Fourth Proportional to 65,769.16, 90,770.32 and 37,094.70

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Solution

The fourth proportional to 65,769.16, 90,770.32 and 37,094.70 is: 51,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,769.16 : 90,770.32 = 37,094.70 : x
  2. Step 2: Convert to fraction form
    65,769.16/90,770.32 = 37,094.70/x
  3. Step 3: Cross multiply
    65,769.16x = 90,770.32 × 37,094.70
  4. Step 4: Simplify right side
    65,769.16x = 3,367,097,789.30
  5. Step 5: Solve for x
    x = 3,367,097,789.30/65,769.16
  6. Step 6: Final answer
    x = 51,195.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.