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Finding the Fourth Proportional to 27,670.30, 41,468.94 and 10,123.24

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Solution

The fourth proportional to 27,670.30, 41,468.94 and 10,123.24 is: 15,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.30 : 41,468.94 = 10,123.24 : x
  2. Step 2: Convert to fraction form
    27,670.30/41,468.94 = 10,123.24/x
  3. Step 3: Cross multiply
    27,670.30x = 41,468.94 × 10,123.24
  4. Step 4: Simplify right side
    27,670.30x = 419,800,032.17
  5. Step 5: Solve for x
    x = 419,800,032.17/27,670.30
  6. Step 6: Final answer
    x = 15,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.