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Finding the Fourth Proportional to 48,789.69, 73,184.49 and 11,853.69

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Solution

The fourth proportional to 48,789.69, 73,184.49 and 11,853.69 is: 17,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,789.69 : 73,184.49 = 11,853.69 : x
  2. Step 2: Convert to fraction form
    48,789.69/73,184.49 = 11,853.69/x
  3. Step 3: Cross multiply
    48,789.69x = 73,184.49 × 11,853.69
  4. Step 4: Simplify right side
    48,789.69x = 867,506,257.27
  5. Step 5: Solve for x
    x = 867,506,257.27/48,789.69
  6. Step 6: Final answer
    x = 17,780.52

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Why These Related Problems?

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