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Finding the Fourth Proportional to 65,696.28, 98,544.96 and 28,253.76

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Solution

The fourth proportional to 65,696.28, 98,544.96 and 28,253.76 is: 42,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696.28 : 98,544.96 = 28,253.76 : x
  2. Step 2: Convert to fraction form
    65,696.28/98,544.96 = 28,253.76/x
  3. Step 3: Cross multiply
    65,696.28x = 98,544.96 × 28,253.76
  4. Step 4: Simplify right side
    65,696.28x = 2,784,265,649.05
  5. Step 5: Solve for x
    x = 2,784,265,649.05/65,696.28
  6. Step 6: Final answer
    x = 42,380.87

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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.