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Finding the Fourth Proportional to 48,866.64, 67,424.76 and 27,641.28

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Solution

The fourth proportional to 48,866.64, 67,424.76 and 27,641.28 is: 38,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,866.64 : 67,424.76 = 27,641.28 : x
  2. Step 2: Convert to fraction form
    48,866.64/67,424.76 = 27,641.28/x
  3. Step 3: Cross multiply
    48,866.64x = 67,424.76 × 27,641.28
  4. Step 4: Simplify right side
    48,866.64x = 1,863,706,670.09
  5. Step 5: Solve for x
    x = 1,863,706,670.09/48,866.64
  6. Step 6: Final answer
    x = 38,138.63

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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.