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Finding the Fourth Proportional to 64,849.72, 97,207.14 and 27,378.52

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Solution

The fourth proportional to 64,849.72, 97,207.14 and 27,378.52 is: 41,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,849.72 : 97,207.14 = 27,378.52 : x
  2. Step 2: Convert to fraction form
    64,849.72/97,207.14 = 27,378.52/x
  3. Step 3: Cross multiply
    64,849.72x = 97,207.14 × 27,378.52
  4. Step 4: Simplify right side
    64,849.72x = 2,661,387,626.63
  5. Step 5: Solve for x
    x = 2,661,387,626.63/64,849.72
  6. Step 6: Final answer
    x = 41,039.31

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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.