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Finding the Fourth Proportional to 65,116.62, 97,649.37 and 22,987.71

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Solution

The fourth proportional to 65,116.62, 97,649.37 and 22,987.71 is: 34,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.62 : 97,649.37 = 22,987.71 : x
  2. Step 2: Convert to fraction form
    65,116.62/97,649.37 = 22,987.71/x
  3. Step 3: Cross multiply
    65,116.62x = 97,649.37 × 22,987.71
  4. Step 4: Simplify right side
    65,116.62x = 2,244,735,399.24
  5. Step 5: Solve for x
    x = 2,244,735,399.24/65,116.62
  6. Step 6: Final answer
    x = 34,472.54

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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.