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Finding the Fourth Proportional to 36,488.76, 54,721.62 and 11,859

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Solution

The fourth proportional to 36,488.76, 54,721.62 and 11,859 is: 17,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.76 : 54,721.62 = 11,859 : x
  2. Step 2: Convert to fraction form
    36,488.76/54,721.62 = 11,859/x
  3. Step 3: Cross multiply
    36,488.76x = 54,721.62 × 11,859
  4. Step 4: Simplify right side
    36,488.76x = 648,943,691.58
  5. Step 5: Solve for x
    x = 648,943,691.58/36,488.76
  6. Step 6: Final answer
    x = 17,784.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.