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Finding the Fourth Proportional to 37,782.17, 52,141.14 and 21,863.54

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Solution

The fourth proportional to 37,782.17, 52,141.14 and 21,863.54 is: 30,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.17 : 52,141.14 = 21,863.54 : x
  2. Step 2: Convert to fraction form
    37,782.17/52,141.14 = 21,863.54/x
  3. Step 3: Cross multiply
    37,782.17x = 52,141.14 × 21,863.54
  4. Step 4: Simplify right side
    37,782.17x = 1,139,989,639.33
  5. Step 5: Solve for x
    x = 1,139,989,639.33/37,782.17
  6. Step 6: Final answer
    x = 30,172.69

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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.