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Finding the Fourth Proportional to 48,807.74, 67,358.12 and 27,587.17

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Solution

The fourth proportional to 48,807.74, 67,358.12 and 27,587.17 is: 38,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.74 : 67,358.12 = 27,587.17 : x
  2. Step 2: Convert to fraction form
    48,807.74/67,358.12 = 27,587.17/x
  3. Step 3: Cross multiply
    48,807.74x = 67,358.12 × 27,587.17
  4. Step 4: Simplify right side
    48,807.74x = 1,858,219,432.59
  5. Step 5: Solve for x
    x = 1,858,219,432.59/48,807.74
  6. Step 6: Final answer
    x = 38,072.23

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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.