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Finding the Fourth Proportional to 37,272.78, 51,449.78 and 22,165.38

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Solution

The fourth proportional to 37,272.78, 51,449.78 and 22,165.38 is: 30,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,272.78 : 51,449.78 = 22,165.38 : x
  2. Step 2: Convert to fraction form
    37,272.78/51,449.78 = 22,165.38/x
  3. Step 3: Cross multiply
    37,272.78x = 51,449.78 × 22,165.38
  4. Step 4: Simplify right side
    37,272.78x = 1,140,403,813.79
  5. Step 5: Solve for x
    x = 1,140,403,813.79/37,272.78
  6. Step 6: Final answer
    x = 30,596.16

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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.