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Finding the Fourth Proportional to 27,969.30, 41,927.22 and 10,434.42

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Solution

The fourth proportional to 27,969.30, 41,927.22 and 10,434.42 is: 15,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.30 : 41,927.22 = 10,434.42 : x
  2. Step 2: Convert to fraction form
    27,969.30/41,927.22 = 10,434.42/x
  3. Step 3: Cross multiply
    27,969.30x = 41,927.22 × 10,434.42
  4. Step 4: Simplify right side
    27,969.30x = 437,486,222.91
  5. Step 5: Solve for x
    x = 437,486,222.91/27,969.30
  6. Step 6: Final answer
    x = 15,641.66

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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.