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Finding the Fourth Proportional to 30,537.28, 42,117.42 and 20,462.44

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Solution

The fourth proportional to 30,537.28, 42,117.42 and 20,462.44 is: 28,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537.28 : 42,117.42 = 20,462.44 : x
  2. Step 2: Convert to fraction form
    30,537.28/42,117.42 = 20,462.44/x
  3. Step 3: Cross multiply
    30,537.28x = 42,117.42 × 20,462.44
  4. Step 4: Simplify right side
    30,537.28x = 861,825,179.70
  5. Step 5: Solve for x
    x = 861,825,179.70/30,537.28
  6. Step 6: Final answer
    x = 28,222.07

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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.