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Finding the Fourth Proportional to 57,190.39, 78,922.75 and 31,698.40

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Solution

The fourth proportional to 57,190.39, 78,922.75 and 31,698.40 is: 43,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.39 : 78,922.75 = 31,698.40 : x
  2. Step 2: Convert to fraction form
    57,190.39/78,922.75 = 31,698.40/x
  3. Step 3: Cross multiply
    57,190.39x = 78,922.75 × 31,698.40
  4. Step 4: Simplify right side
    57,190.39x = 2,501,724,518.34
  5. Step 5: Solve for x
    x = 2,501,724,518.34/57,190.39
  6. Step 6: Final answer
    x = 43,743.79

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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.