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Finding the Fourth Proportional to 65,059.92, 97,745.40 and 41,731.92

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Solution

The fourth proportional to 65,059.92, 97,745.40 and 41,731.92 is: 62,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.92 : 97,745.40 = 41,731.92 : x
  2. Step 2: Convert to fraction form
    65,059.92/97,745.40 = 41,731.92/x
  3. Step 3: Cross multiply
    65,059.92x = 97,745.40 × 41,731.92
  4. Step 4: Simplify right side
    65,059.92x = 4,079,103,213.17
  5. Step 5: Solve for x
    x = 4,079,103,213.17/65,059.92
  6. Step 6: Final answer
    x = 62,697.64

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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.