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Finding the Fourth Proportional to 27,870.98, 41,998.24 and 23,049.05

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Solution

The fourth proportional to 27,870.98, 41,998.24 and 23,049.05 is: 34,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.98 : 41,998.24 = 23,049.05 : x
  2. Step 2: Convert to fraction form
    27,870.98/41,998.24 = 23,049.05/x
  3. Step 3: Cross multiply
    27,870.98x = 41,998.24 × 23,049.05
  4. Step 4: Simplify right side
    27,870.98x = 968,019,533.67
  5. Step 5: Solve for x
    x = 968,019,533.67/27,870.98
  6. Step 6: Final answer
    x = 34,732.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.