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Finding the Fourth Proportional to 64,769.85, 97,100.78 and 27,358.65

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Solution

The fourth proportional to 64,769.85, 97,100.78 and 27,358.65 is: 41,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,769.85 : 97,100.78 = 27,358.65 : x
  2. Step 2: Convert to fraction form
    64,769.85/97,100.78 = 27,358.65/x
  3. Step 3: Cross multiply
    64,769.85x = 97,100.78 × 27,358.65
  4. Step 4: Simplify right side
    64,769.85x = 2,656,546,117.95
  5. Step 5: Solve for x
    x = 2,656,546,117.95/64,769.85
  6. Step 6: Final answer
    x = 41,015.17

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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.