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Finding the Fourth Proportional to 48,631.50, 72,969.21 and 27,855

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Solution

The fourth proportional to 48,631.50, 72,969.21 and 27,855 is: 41,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,631.50 : 72,969.21 = 27,855 : x
  2. Step 2: Convert to fraction form
    48,631.50/72,969.21 = 27,855/x
  3. Step 3: Cross multiply
    48,631.50x = 72,969.21 × 27,855
  4. Step 4: Simplify right side
    48,631.50x = 2,032,557,344.55
  5. Step 5: Solve for x
    x = 2,032,557,344.55/48,631.50
  6. Step 6: Final answer
    x = 41,795.08

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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.