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Finding the Fourth Proportional to 37,667, 56,498.88 and 11,370.96

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Solution

The fourth proportional to 37,667, 56,498.88 and 11,370.96 is: 17,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667 : 56,498.88 = 11,370.96 : x
  2. Step 2: Convert to fraction form
    37,667/56,498.88 = 11,370.96/x
  3. Step 3: Cross multiply
    37,667x = 56,498.88 × 11,370.96
  4. Step 4: Simplify right side
    37,667x = 642,446,504.52
  5. Step 5: Solve for x
    x = 642,446,504.52/37,667
  6. Step 6: Final answer
    x = 17,055.95

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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.