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Finding the Fourth Proportional to 27,648.48, 41,477.28 and 10,142.88

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Solution

The fourth proportional to 27,648.48, 41,477.28 and 10,142.88 is: 15,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.48 : 41,477.28 = 10,142.88 : x
  2. Step 2: Convert to fraction form
    27,648.48/41,477.28 = 10,142.88/x
  3. Step 3: Cross multiply
    27,648.48x = 41,477.28 × 10,142.88
  4. Step 4: Simplify right side
    27,648.48x = 420,699,073.77
  5. Step 5: Solve for x
    x = 420,699,073.77/27,648.48
  6. Step 6: Final answer
    x = 15,215.99

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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.