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Finding the Fourth Proportional to 37,644.92, 51,952.14 and 22,745.72

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Solution

The fourth proportional to 37,644.92, 51,952.14 and 22,745.72 is: 31,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.92 : 51,952.14 = 22,745.72 : x
  2. Step 2: Convert to fraction form
    37,644.92/51,952.14 = 22,745.72/x
  3. Step 3: Cross multiply
    37,644.92x = 51,952.14 × 22,745.72
  4. Step 4: Simplify right side
    37,644.92x = 1,181,688,829.84
  5. Step 5: Solve for x
    x = 1,181,688,829.84/37,644.92
  6. Step 6: Final answer
    x = 31,390.39

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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.