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Finding the Fourth Proportional to 30,738.92, 42,421.72 and 23,171.90

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Solution

The fourth proportional to 30,738.92, 42,421.72 and 23,171.90 is: 31,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.92 : 42,421.72 = 23,171.90 : x
  2. Step 2: Convert to fraction form
    30,738.92/42,421.72 = 23,171.90/x
  3. Step 3: Cross multiply
    30,738.92x = 42,421.72 × 23,171.90
  4. Step 4: Simplify right side
    30,738.92x = 982,991,853.67
  5. Step 5: Solve for x
    x = 982,991,853.67/30,738.92
  6. Step 6: Final answer
    x = 31,978.74

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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.