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Finding the Fourth Proportional to 37,863.39, 52,202.94 and 31,032.24

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Solution

The fourth proportional to 37,863.39, 52,202.94 and 31,032.24 is: 42,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863.39 : 52,202.94 = 31,032.24 : x
  2. Step 2: Convert to fraction form
    37,863.39/52,202.94 = 31,032.24/x
  3. Step 3: Cross multiply
    37,863.39x = 52,202.94 × 31,032.24
  4. Step 4: Simplify right side
    37,863.39x = 1,619,974,162.79
  5. Step 5: Solve for x
    x = 1,619,974,162.79/37,863.39
  6. Step 6: Final answer
    x = 42,784.71

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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.