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Finding the Fourth Proportional to 65,221.80, 97,876.54 and 23,101.73

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Solution

The fourth proportional to 65,221.80, 97,876.54 and 23,101.73 is: 34,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.80 : 97,876.54 = 23,101.73 : x
  2. Step 2: Convert to fraction form
    65,221.80/97,876.54 = 23,101.73/x
  3. Step 3: Cross multiply
    65,221.80x = 97,876.54 × 23,101.73
  4. Step 4: Simplify right side
    65,221.80x = 2,261,117,400.41
  5. Step 5: Solve for x
    x = 2,261,117,400.41/65,221.80
  6. Step 6: Final answer
    x = 34,668.12

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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.