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Finding the Fourth Proportional to 48,106.26, 72,142.11 and 18,509.22

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Solution

The fourth proportional to 48,106.26, 72,142.11 and 18,509.22 is: 27,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106.26 : 72,142.11 = 18,509.22 : x
  2. Step 2: Convert to fraction form
    48,106.26/72,142.11 = 18,509.22/x
  3. Step 3: Cross multiply
    48,106.26x = 72,142.11 × 18,509.22
  4. Step 4: Simplify right side
    48,106.26x = 1,335,294,185.25
  5. Step 5: Solve for x
    x = 1,335,294,185.25/48,106.26
  6. Step 6: Final answer
    x = 27,757.18

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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.