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Finding the Fourth Proportional to 30,866.85, 42,551.64 and 20,238.03

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Solution

The fourth proportional to 30,866.85, 42,551.64 and 20,238.03 is: 27,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.85 : 42,551.64 = 20,238.03 : x
  2. Step 2: Convert to fraction form
    30,866.85/42,551.64 = 20,238.03/x
  3. Step 3: Cross multiply
    30,866.85x = 42,551.64 × 20,238.03
  4. Step 4: Simplify right side
    30,866.85x = 861,161,366.87
  5. Step 5: Solve for x
    x = 861,161,366.87/30,866.85
  6. Step 6: Final answer
    x = 27,899.23

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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.