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Finding the Fourth Proportional to 48,708.52, 67,216.14 and 27,198.76

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Solution

The fourth proportional to 48,708.52, 67,216.14 and 27,198.76 is: 37,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708.52 : 67,216.14 = 27,198.76 : x
  2. Step 2: Convert to fraction form
    48,708.52/67,216.14 = 27,198.76/x
  3. Step 3: Cross multiply
    48,708.52x = 67,216.14 × 27,198.76
  4. Step 4: Simplify right side
    48,708.52x = 1,828,195,659.99
  5. Step 5: Solve for x
    x = 1,828,195,659.99/48,708.52
  6. Step 6: Final answer
    x = 37,533.39

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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.