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Finding the Fourth Proportional to 65,143.65, 97,879.50 and 41,462.09

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Solution

The fourth proportional to 65,143.65, 97,879.50 and 41,462.09 is: 62,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.65 : 97,879.50 = 41,462.09 : x
  2. Step 2: Convert to fraction form
    65,143.65/97,879.50 = 41,462.09/x
  3. Step 3: Cross multiply
    65,143.65x = 97,879.50 × 41,462.09
  4. Step 4: Simplify right side
    65,143.65x = 4,058,288,148.76
  5. Step 5: Solve for x
    x = 4,058,288,148.76/65,143.65
  6. Step 6: Final answer
    x = 62,297.52

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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.