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Finding the Fourth Proportional to 41,616.54, 57,436.14 and 23,718

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Solution

The fourth proportional to 41,616.54, 57,436.14 and 23,718 is: 32,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,616.54 : 57,436.14 = 23,718 : x
  2. Step 2: Convert to fraction form
    41,616.54/57,436.14 = 23,718/x
  3. Step 3: Cross multiply
    41,616.54x = 57,436.14 × 23,718
  4. Step 4: Simplify right side
    41,616.54x = 1,362,270,368.52
  5. Step 5: Solve for x
    x = 1,362,270,368.52/41,616.54
  6. Step 6: Final answer
    x = 32,733.87

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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.