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Finding the Fourth Proportional to 30,502.86, 42,099.39 and 22,143.66

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Solution

The fourth proportional to 30,502.86, 42,099.39 and 22,143.66 is: 30,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.86 : 42,099.39 = 22,143.66 : x
  2. Step 2: Convert to fraction form
    30,502.86/42,099.39 = 22,143.66/x
  3. Step 3: Cross multiply
    30,502.86x = 42,099.39 × 22,143.66
  4. Step 4: Simplify right side
    30,502.86x = 932,234,578.37
  5. Step 5: Solve for x
    x = 932,234,578.37/30,502.86
  6. Step 6: Final answer
    x = 30,562.20

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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.