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Finding the Fourth Proportional to 64,902.76, 97,364.16 and 27,463.04

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Solution

The fourth proportional to 64,902.76, 97,364.16 and 27,463.04 is: 41,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.76 : 97,364.16 = 27,463.04 : x
  2. Step 2: Convert to fraction form
    64,902.76/97,364.16 = 27,463.04/x
  3. Step 3: Cross multiply
    64,902.76x = 97,364.16 × 27,463.04
  4. Step 4: Simplify right side
    64,902.76x = 2,673,915,820.65
  5. Step 5: Solve for x
    x = 2,673,915,820.65/64,902.76
  6. Step 6: Final answer
    x = 41,198.80

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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.