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Finding the Fourth Proportional to 30,542.66, 42,141.47 and 20,467.43

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Solution

The fourth proportional to 30,542.66, 42,141.47 and 20,467.43 is: 28,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.66 : 42,141.47 = 20,467.43 : x
  2. Step 2: Convert to fraction form
    30,542.66/42,141.47 = 20,467.43/x
  3. Step 3: Cross multiply
    30,542.66x = 42,141.47 × 20,467.43
  4. Step 4: Simplify right side
    30,542.66x = 862,527,587.32
  5. Step 5: Solve for x
    x = 862,527,587.32/30,542.66
  6. Step 6: Final answer
    x = 28,240.09

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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.