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Finding the Fourth Proportional to 48,597.67, 67,062.41 and 27,089.76

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Solution

The fourth proportional to 48,597.67, 67,062.41 and 27,089.76 is: 37,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597.67 : 67,062.41 = 27,089.76 : x
  2. Step 2: Convert to fraction form
    48,597.67/67,062.41 = 27,089.76/x
  3. Step 3: Cross multiply
    48,597.67x = 67,062.41 × 27,089.76
  4. Step 4: Simplify right side
    48,597.67x = 1,816,704,809.54
  5. Step 5: Solve for x
    x = 1,816,704,809.54/48,597.67
  6. Step 6: Final answer
    x = 37,382.55

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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.