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Finding the Fourth Proportional to 65,197.92, 97,739.28 and 28,241.76

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Solution

The fourth proportional to 65,197.92, 97,739.28 and 28,241.76 is: 42,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.92 : 97,739.28 = 28,241.76 : x
  2. Step 2: Convert to fraction form
    65,197.92/97,739.28 = 28,241.76/x
  3. Step 3: Cross multiply
    65,197.92x = 97,739.28 × 28,241.76
  4. Step 4: Simplify right side
    65,197.92x = 2,760,329,288.33
  5. Step 5: Solve for x
    x = 2,760,329,288.33/65,197.92
  6. Step 6: Final answer
    x = 42,337.69

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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.