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Finding the Fourth Proportional to 37,078.47, 55,626.84 and 10,783.44

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Solution

The fourth proportional to 37,078.47, 55,626.84 and 10,783.44 is: 16,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078.47 : 55,626.84 = 10,783.44 : x
  2. Step 2: Convert to fraction form
    37,078.47/55,626.84 = 10,783.44/x
  3. Step 3: Cross multiply
    37,078.47x = 55,626.84 × 10,783.44
  4. Step 4: Simplify right side
    37,078.47x = 599,848,691.53
  5. Step 5: Solve for x
    x = 599,848,691.53/37,078.47
  6. Step 6: Final answer
    x = 16,177.82

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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.