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Finding the Fourth Proportional to 27,653.98, 41,483.10 and 10,123.42

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Solution

The fourth proportional to 27,653.98, 41,483.10 and 10,123.42 is: 15,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.98 : 41,483.10 = 10,123.42 : x
  2. Step 2: Convert to fraction form
    27,653.98/41,483.10 = 10,123.42/x
  3. Step 3: Cross multiply
    27,653.98x = 41,483.10 × 10,123.42
  4. Step 4: Simplify right side
    27,653.98x = 419,950,844.20
  5. Step 5: Solve for x
    x = 419,950,844.20/27,653.98
  6. Step 6: Final answer
    x = 15,185.91

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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.