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Finding the Fourth Proportional to 27,950.65, 41,927.29 and 9,232.36

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Solution

The fourth proportional to 27,950.65, 41,927.29 and 9,232.36 is: 13,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.65 : 41,927.29 = 9,232.36 : x
  2. Step 2: Convert to fraction form
    27,950.65/41,927.29 = 9,232.36/x
  3. Step 3: Cross multiply
    27,950.65x = 41,927.29 × 9,232.36
  4. Step 4: Simplify right side
    27,950.65x = 387,087,707.21
  5. Step 5: Solve for x
    x = 387,087,707.21/27,950.65
  6. Step 6: Final answer
    x = 13,848.97

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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.