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Finding the Fourth Proportional to 37,224.38, 51,377.74 and 22,896.52

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Solution

The fourth proportional to 37,224.38, 51,377.74 and 22,896.52 is: 31,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.38 : 51,377.74 = 22,896.52 : x
  2. Step 2: Convert to fraction form
    37,224.38/51,377.74 = 22,896.52/x
  3. Step 3: Cross multiply
    37,224.38x = 51,377.74 × 22,896.52
  4. Step 4: Simplify right side
    37,224.38x = 1,176,371,451.46
  5. Step 5: Solve for x
    x = 1,176,371,451.46/37,224.38
  6. Step 6: Final answer
    x = 31,602.18

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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.