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Finding the Fourth Proportional to 57,047, 78,726.54 and 31,896.56

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Solution

The fourth proportional to 57,047, 78,726.54 and 31,896.56 is: 44,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047 : 78,726.54 = 31,896.56 : x
  2. Step 2: Convert to fraction form
    57,047/78,726.54 = 31,896.56/x
  3. Step 3: Cross multiply
    57,047x = 78,726.54 × 31,896.56
  4. Step 4: Simplify right side
    57,047x = 2,511,105,806.70
  5. Step 5: Solve for x
    x = 2,511,105,806.70/57,047
  6. Step 6: Final answer
    x = 44,018.19

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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.