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Finding the Fourth Proportional to 37,464.30, 51,696.99 and 20,696.22

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Solution

The fourth proportional to 37,464.30, 51,696.99 and 20,696.22 is: 28,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.30 : 51,696.99 = 20,696.22 : x
  2. Step 2: Convert to fraction form
    37,464.30/51,696.99 = 20,696.22/x
  3. Step 3: Cross multiply
    37,464.30x = 51,696.99 × 20,696.22
  4. Step 4: Simplify right side
    37,464.30x = 1,069,932,278.38
  5. Step 5: Solve for x
    x = 1,069,932,278.38/37,464.30
  6. Step 6: Final answer
    x = 28,558.72

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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.