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Finding the Fourth Proportional to 37,357, 51,553.47 and 20,590

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Solution

The fourth proportional to 37,357, 51,553.47 and 20,590 is: 28,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,357 : 51,553.47 = 20,590 : x
  2. Step 2: Convert to fraction form
    37,357/51,553.47 = 20,590/x
  3. Step 3: Cross multiply
    37,357x = 51,553.47 × 20,590
  4. Step 4: Simplify right side
    37,357x = 1,061,485,947.30
  5. Step 5: Solve for x
    x = 1,061,485,947.30/37,357
  6. Step 6: Final answer
    x = 28,414.65

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