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Finding the Fourth Proportional to 65,169.23, 97,758.29 and 20,799.33

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Solution

The fourth proportional to 65,169.23, 97,758.29 and 20,799.33 is: 31,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.23 : 97,758.29 = 20,799.33 : x
  2. Step 2: Convert to fraction form
    65,169.23/97,758.29 = 20,799.33/x
  3. Step 3: Cross multiply
    65,169.23x = 97,758.29 × 20,799.33
  4. Step 4: Simplify right side
    65,169.23x = 2,033,306,502.35
  5. Step 5: Solve for x
    x = 2,033,306,502.35/65,169.23
  6. Step 6: Final answer
    x = 31,200.41

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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.