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Finding the Fourth Proportional to 37,285.74, 55,943.19 and 13,914

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Solution

The fourth proportional to 37,285.74, 55,943.19 and 13,914 is: 20,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,285.74 : 55,943.19 = 13,914 : x
  2. Step 2: Convert to fraction form
    37,285.74/55,943.19 = 13,914/x
  3. Step 3: Cross multiply
    37,285.74x = 55,943.19 × 13,914
  4. Step 4: Simplify right side
    37,285.74x = 778,393,545.66
  5. Step 5: Solve for x
    x = 778,393,545.66/37,285.74
  6. Step 6: Final answer
    x = 20,876.44

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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.