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Finding the Fourth Proportional to 57,182.36, 78,917.15 and 31,694.24

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Solution

The fourth proportional to 57,182.36, 78,917.15 and 31,694.24 is: 43,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.36 : 78,917.15 = 31,694.24 : x
  2. Step 2: Convert to fraction form
    57,182.36/78,917.15 = 31,694.24/x
  3. Step 3: Cross multiply
    57,182.36x = 78,917.15 × 31,694.24
  4. Step 4: Simplify right side
    57,182.36x = 2,501,219,368.74
  5. Step 5: Solve for x
    x = 2,501,219,368.74/57,182.36
  6. Step 6: Final answer
    x = 43,741.10

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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.