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Finding the Fourth Proportional to 67,576.82, 101,266.80 and 32,475.47

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Solution

The fourth proportional to 67,576.82, 101,266.80 and 32,475.47 is: 48,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,576.82 : 101,266.80 = 32,475.47 : x
  2. Step 2: Convert to fraction form
    67,576.82/101,266.80 = 32,475.47/x
  3. Step 3: Cross multiply
    67,576.82x = 101,266.80 × 32,475.47
  4. Step 4: Simplify right side
    67,576.82x = 3,288,686,419.06
  5. Step 5: Solve for x
    x = 3,288,686,419.06/67,576.82
  6. Step 6: Final answer
    x = 48,665.90

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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.