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Finding the Fourth Proportional to 27,235.24, 40,848 and 7,244.84

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Solution

The fourth proportional to 27,235.24, 40,848 and 7,244.84 is: 10,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,235.24 : 40,848 = 7,244.84 : x
  2. Step 2: Convert to fraction form
    27,235.24/40,848 = 7,244.84/x
  3. Step 3: Cross multiply
    27,235.24x = 40,848 × 7,244.84
  4. Step 4: Simplify right side
    27,235.24x = 295,937,224.32
  5. Step 5: Solve for x
    x = 295,937,224.32/27,235.24
  6. Step 6: Final answer
    x = 10,865.97

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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.