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Finding the Fourth Proportional to 65,198.70, 97,862.85 and 31,956.30

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Solution

The fourth proportional to 65,198.70, 97,862.85 and 31,956.30 is: 47,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.70 : 97,862.85 = 31,956.30 : x
  2. Step 2: Convert to fraction form
    65,198.70/97,862.85 = 31,956.30/x
  3. Step 3: Cross multiply
    65,198.70x = 97,862.85 × 31,956.30
  4. Step 4: Simplify right side
    65,198.70x = 3,127,334,593.46
  5. Step 5: Solve for x
    x = 3,127,334,593.46/65,198.70
  6. Step 6: Final answer
    x = 47,966.21

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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.