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Finding the Fourth Proportional to 65,251.56, 97,891.92 and 20,880.96

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Solution

The fourth proportional to 65,251.56, 97,891.92 and 20,880.96 is: 31,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.56 : 97,891.92 = 20,880.96 : x
  2. Step 2: Convert to fraction form
    65,251.56/97,891.92 = 20,880.96/x
  3. Step 3: Cross multiply
    65,251.56x = 97,891.92 × 20,880.96
  4. Step 4: Simplify right side
    65,251.56x = 2,044,077,265.84
  5. Step 5: Solve for x
    x = 2,044,077,265.84/65,251.56
  6. Step 6: Final answer
    x = 31,326.11

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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.