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Finding the Fourth Proportional to 48,592.38, 67,057.62 and 28,178.40

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Solution

The fourth proportional to 48,592.38, 67,057.62 and 28,178.40 is: 38,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.38 : 67,057.62 = 28,178.40 : x
  2. Step 2: Convert to fraction form
    48,592.38/67,057.62 = 28,178.40/x
  3. Step 3: Cross multiply
    48,592.38x = 67,057.62 × 28,178.40
  4. Step 4: Simplify right side
    48,592.38x = 1,889,576,439.41
  5. Step 5: Solve for x
    x = 1,889,576,439.41/48,592.38
  6. Step 6: Final answer
    x = 38,886.27

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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.