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Finding the Fourth Proportional to 73,874.36, 110,810.82 and 18,470.36

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Solution

The fourth proportional to 73,874.36, 110,810.82 and 18,470.36 is: 27,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,874.36 : 110,810.82 = 18,470.36 : x
  2. Step 2: Convert to fraction form
    73,874.36/110,810.82 = 18,470.36/x
  3. Step 3: Cross multiply
    73,874.36x = 110,810.82 × 18,470.36
  4. Step 4: Simplify right side
    73,874.36x = 2,046,715,737.30
  5. Step 5: Solve for x
    x = 2,046,715,737.30/73,874.36
  6. Step 6: Final answer
    x = 27,705.36

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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.