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Finding the Fourth Proportional to 65,221.92, 97,876.73 and 23,101.86

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Solution

The fourth proportional to 65,221.92, 97,876.73 and 23,101.86 is: 34,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.92 : 97,876.73 = 23,101.86 : x
  2. Step 2: Convert to fraction form
    65,221.92/97,876.73 = 23,101.86/x
  3. Step 3: Cross multiply
    65,221.92x = 97,876.73 × 23,101.86
  4. Step 4: Simplify right side
    65,221.92x = 2,261,134,513.72
  5. Step 5: Solve for x
    x = 2,261,134,513.72/65,221.92
  6. Step 6: Final answer
    x = 34,668.32

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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.