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Finding the Fourth Proportional to 34,333.47, 47,382.57 and 19,227.38

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Solution

The fourth proportional to 34,333.47, 47,382.57 and 19,227.38 is: 26,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,333.47 : 47,382.57 = 19,227.38 : x
  2. Step 2: Convert to fraction form
    34,333.47/47,382.57 = 19,227.38/x
  3. Step 3: Cross multiply
    34,333.47x = 47,382.57 × 19,227.38
  4. Step 4: Simplify right side
    34,333.47x = 911,042,441.85
  5. Step 5: Solve for x
    x = 911,042,441.85/34,333.47
  6. Step 6: Final answer
    x = 26,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.