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Finding the Fourth Proportional to 48,815.76, 73,223.62 and 11,879.76

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Solution

The fourth proportional to 48,815.76, 73,223.62 and 11,879.76 is: 17,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,815.76 : 73,223.62 = 11,879.76 : x
  2. Step 2: Convert to fraction form
    48,815.76/73,223.62 = 11,879.76/x
  3. Step 3: Cross multiply
    48,815.76x = 73,223.62 × 11,879.76
  4. Step 4: Simplify right side
    48,815.76x = 869,879,031.93
  5. Step 5: Solve for x
    x = 869,879,031.93/48,815.76
  6. Step 6: Final answer
    x = 17,819.64

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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.