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Finding the Fourth Proportional to 37,876.38, 56,815.29 and 12,922.14

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Solution

The fourth proportional to 37,876.38, 56,815.29 and 12,922.14 is: 19,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,876.38 : 56,815.29 = 12,922.14 : x
  2. Step 2: Convert to fraction form
    37,876.38/56,815.29 = 12,922.14/x
  3. Step 3: Cross multiply
    37,876.38x = 56,815.29 × 12,922.14
  4. Step 4: Simplify right side
    37,876.38x = 734,175,131.52
  5. Step 5: Solve for x
    x = 734,175,131.52/37,876.38
  6. Step 6: Final answer
    x = 19,383.46

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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.