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Finding the Fourth Proportional to 65,576.68, 90,496.10 and 35,769.32

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Solution

The fourth proportional to 65,576.68, 90,496.10 and 35,769.32 is: 49,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.68 : 90,496.10 = 35,769.32 : x
  2. Step 2: Convert to fraction form
    65,576.68/90,496.10 = 35,769.32/x
  3. Step 3: Cross multiply
    65,576.68x = 90,496.10 × 35,769.32
  4. Step 4: Simplify right side
    65,576.68x = 3,236,983,959.65
  5. Step 5: Solve for x
    x = 3,236,983,959.65/65,576.68
  6. Step 6: Final answer
    x = 49,361.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.