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Finding the Fourth Proportional to 65,121.75, 97,695.32 and 27,681.39

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Solution

The fourth proportional to 65,121.75, 97,695.32 and 27,681.39 is: 41,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121.75 : 97,695.32 = 27,681.39 : x
  2. Step 2: Convert to fraction form
    65,121.75/97,695.32 = 27,681.39/x
  3. Step 3: Cross multiply
    65,121.75x = 97,695.32 × 27,681.39
  4. Step 4: Simplify right side
    65,121.75x = 2,704,342,115.69
  5. Step 5: Solve for x
    x = 2,704,342,115.69/65,121.75
  6. Step 6: Final answer
    x = 41,527.48

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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.