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Finding the Fourth Proportional to 37,086.39, 55,633 and 12,126.57

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Solution

The fourth proportional to 37,086.39, 55,633 and 12,126.57 is: 18,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086.39 : 55,633 = 12,126.57 : x
  2. Step 2: Convert to fraction form
    37,086.39/55,633 = 12,126.57/x
  3. Step 3: Cross multiply
    37,086.39x = 55,633 × 12,126.57
  4. Step 4: Simplify right side
    37,086.39x = 674,637,468.81
  5. Step 5: Solve for x
    x = 674,637,468.81/37,086.39
  6. Step 6: Final answer
    x = 18,190.97

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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.