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Finding the Fourth Proportional to 65,223.58, 97,863.49 and 35,231.86

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Solution

The fourth proportional to 65,223.58, 97,863.49 and 35,231.86 is: 52,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.58 : 97,863.49 = 35,231.86 : x
  2. Step 2: Convert to fraction form
    65,223.58/97,863.49 = 35,231.86/x
  3. Step 3: Cross multiply
    65,223.58x = 97,863.49 × 35,231.86
  4. Step 4: Simplify right side
    65,223.58x = 3,447,912,945.16
  5. Step 5: Solve for x
    x = 3,447,912,945.16/65,223.58
  6. Step 6: Final answer
    x = 52,862.98

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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.