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Finding the Fourth Proportional to 30,221.24, 45,331.79 and 8,034.61

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Solution

The fourth proportional to 30,221.24, 45,331.79 and 8,034.61 is: 12,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.24 : 45,331.79 = 8,034.61 : x
  2. Step 2: Convert to fraction form
    30,221.24/45,331.79 = 8,034.61/x
  3. Step 3: Cross multiply
    30,221.24x = 45,331.79 × 8,034.61
  4. Step 4: Simplify right side
    30,221.24x = 364,223,160.01
  5. Step 5: Solve for x
    x = 364,223,160.01/30,221.24
  6. Step 6: Final answer
    x = 12,051.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.