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Finding the Fourth Proportional to 31,378.41, 43,302.74 and 17,232.57

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Solution

The fourth proportional to 31,378.41, 43,302.74 and 17,232.57 is: 23,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.41 : 43,302.74 = 17,232.57 : x
  2. Step 2: Convert to fraction form
    31,378.41/43,302.74 = 17,232.57/x
  3. Step 3: Cross multiply
    31,378.41x = 43,302.74 × 17,232.57
  4. Step 4: Simplify right side
    31,378.41x = 746,217,412.08
  5. Step 5: Solve for x
    x = 746,217,412.08/31,378.41
  6. Step 6: Final answer
    x = 23,781.24

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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.