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Finding the Fourth Proportional to 27,950.46, 41,927.02 and 9,230.08

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Solution

The fourth proportional to 27,950.46, 41,927.02 and 9,230.08 is: 13,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.46 : 41,927.02 = 9,230.08 : x
  2. Step 2: Convert to fraction form
    27,950.46/41,927.02 = 9,230.08/x
  3. Step 3: Cross multiply
    27,950.46x = 41,927.02 × 9,230.08
  4. Step 4: Simplify right side
    27,950.46x = 386,989,748.76
  5. Step 5: Solve for x
    x = 386,989,748.76/27,950.46
  6. Step 6: Final answer
    x = 13,845.56

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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.