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Finding the Fourth Proportional to 48,797.42, 67,335.02 and 27,576.62

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Solution

The fourth proportional to 48,797.42, 67,335.02 and 27,576.62 is: 38,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,797.42 : 67,335.02 = 27,576.62 : x
  2. Step 2: Convert to fraction form
    48,797.42/67,335.02 = 27,576.62/x
  3. Step 3: Cross multiply
    48,797.42x = 67,335.02 × 27,576.62
  4. Step 4: Simplify right side
    48,797.42x = 1,856,872,259.23
  5. Step 5: Solve for x
    x = 1,856,872,259.23/48,797.42
  6. Step 6: Final answer
    x = 38,052.67

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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.