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Finding the Fourth Proportional to 42,189, 58,215.78 and 23,323.56

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Solution

The fourth proportional to 42,189, 58,215.78 and 23,323.56 is: 32,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,189 : 58,215.78 = 23,323.56 : x
  2. Step 2: Convert to fraction form
    42,189/58,215.78 = 23,323.56/x
  3. Step 3: Cross multiply
    42,189x = 58,215.78 × 23,323.56
  4. Step 4: Simplify right side
    42,189x = 1,357,799,237.78
  5. Step 5: Solve for x
    x = 1,357,799,237.78/42,189
  6. Step 6: Final answer
    x = 32,183.73

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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.