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Finding the Fourth Proportional to 37,411.24, 51,580.82 and 23,960.38

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Solution

The fourth proportional to 37,411.24, 51,580.82 and 23,960.38 is: 33,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,411.24 : 51,580.82 = 23,960.38 : x
  2. Step 2: Convert to fraction form
    37,411.24/51,580.82 = 23,960.38/x
  3. Step 3: Cross multiply
    37,411.24x = 51,580.82 × 23,960.38
  4. Step 4: Simplify right side
    37,411.24x = 1,235,896,047.91
  5. Step 5: Solve for x
    x = 1,235,896,047.91/37,411.24
  6. Step 6: Final answer
    x = 33,035.42

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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.