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Finding the Fourth Proportional to 65,195.70, 97,858.35 and 31,953.30

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Solution

The fourth proportional to 65,195.70, 97,858.35 and 31,953.30 is: 47,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.70 : 97,858.35 = 31,953.30 : x
  2. Step 2: Convert to fraction form
    65,195.70/97,858.35 = 31,953.30/x
  3. Step 3: Cross multiply
    65,195.70x = 97,858.35 × 31,953.30
  4. Step 4: Simplify right side
    65,195.70x = 3,126,897,215.06
  5. Step 5: Solve for x
    x = 3,126,897,215.06/65,195.70
  6. Step 6: Final answer
    x = 47,961.71

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1.5x scale

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.