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Finding the Fourth Proportional to 31,608.56, 43,624 and 30,570.08

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Solution

The fourth proportional to 31,608.56, 43,624 and 30,570.08 is: 42,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.56 : 43,624 = 30,570.08 : x
  2. Step 2: Convert to fraction form
    31,608.56/43,624 = 30,570.08/x
  3. Step 3: Cross multiply
    31,608.56x = 43,624 × 30,570.08
  4. Step 4: Simplify right side
    31,608.56x = 1,333,589,169.92
  5. Step 5: Solve for x
    x = 1,333,589,169.92/31,608.56
  6. Step 6: Final answer
    x = 42,190.76

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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.