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Finding the Fourth Proportional to 37,836, 52,224.39 and 22,733.46

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Solution

The fourth proportional to 37,836, 52,224.39 and 22,733.46 is: 31,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,836 : 52,224.39 = 22,733.46 : x
  2. Step 2: Convert to fraction form
    37,836/52,224.39 = 22,733.46/x
  3. Step 3: Cross multiply
    37,836x = 52,224.39 × 22,733.46
  4. Step 4: Simplify right side
    37,836x = 1,187,241,081.09
  5. Step 5: Solve for x
    x = 1,187,241,081.09/37,836
  6. Step 6: Final answer
    x = 31,378.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.