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Finding the Fourth Proportional to 57,111.16, 78,812.16 and 31,616.04

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Solution

The fourth proportional to 57,111.16, 78,812.16 and 31,616.04 is: 43,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.16 : 78,812.16 = 31,616.04 : x
  2. Step 2: Convert to fraction form
    57,111.16/78,812.16 = 31,616.04/x
  3. Step 3: Cross multiply
    57,111.16x = 78,812.16 × 31,616.04
  4. Step 4: Simplify right side
    57,111.16x = 2,491,728,403.05
  5. Step 5: Solve for x
    x = 2,491,728,403.05/57,111.16
  6. Step 6: Final answer
    x = 43,629.45

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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.