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Finding the Fourth Proportional to 37,280.36, 55,930.26 and 13,907

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Solution

The fourth proportional to 37,280.36, 55,930.26 and 13,907 is: 20,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280.36 : 55,930.26 = 13,907 : x
  2. Step 2: Convert to fraction form
    37,280.36/55,930.26 = 13,907/x
  3. Step 3: Cross multiply
    37,280.36x = 55,930.26 × 13,907
  4. Step 4: Simplify right side
    37,280.36x = 777,822,125.82
  5. Step 5: Solve for x
    x = 777,822,125.82/37,280.36
  6. Step 6: Final answer
    x = 20,864.13

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