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Finding the Fourth Proportional to 57,109.84, 78,804.62 and 31,614.28

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Solution

The fourth proportional to 57,109.84, 78,804.62 and 31,614.28 is: 43,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109.84 : 78,804.62 = 31,614.28 : x
  2. Step 2: Convert to fraction form
    57,109.84/78,804.62 = 31,614.28/x
  3. Step 3: Cross multiply
    57,109.84x = 78,804.62 × 31,614.28
  4. Step 4: Simplify right side
    57,109.84x = 2,491,351,321.97
  5. Step 5: Solve for x
    x = 2,491,351,321.97/57,109.84
  6. Step 6: Final answer
    x = 43,623.85

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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.