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Finding the Fourth Proportional to 102,775.66, 154,163.56 and 27,895.82

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Solution

The fourth proportional to 102,775.66, 154,163.56 and 27,895.82 is: 41,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,775.66 : 154,163.56 = 27,895.82 : x
  2. Step 2: Convert to fraction form
    102,775.66/154,163.56 = 27,895.82/x
  3. Step 3: Cross multiply
    102,775.66x = 154,163.56 × 27,895.82
  4. Step 4: Simplify right side
    102,775.66x = 4,300,518,920.32
  5. Step 5: Solve for x
    x = 4,300,518,920.32/102,775.66
  6. Step 6: Final answer
    x = 41,843.75

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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.