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Finding the Fourth Proportional to 57,184.36, 78,914.62 and 31,691.16

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Solution

The fourth proportional to 57,184.36, 78,914.62 and 31,691.16 is: 43,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184.36 : 78,914.62 = 31,691.16 : x
  2. Step 2: Convert to fraction form
    57,184.36/78,914.62 = 31,691.16/x
  3. Step 3: Cross multiply
    57,184.36x = 78,914.62 × 31,691.16
  4. Step 4: Simplify right side
    57,184.36x = 2,500,895,769.53
  5. Step 5: Solve for x
    x = 2,500,895,769.53/57,184.36
  6. Step 6: Final answer
    x = 43,733.91

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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.