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Finding the Fourth Proportional to 37,665.96, 51,993 and 32,339.40

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Solution

The fourth proportional to 37,665.96, 51,993 and 32,339.40 is: 44,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665.96 : 51,993 = 32,339.40 : x
  2. Step 2: Convert to fraction form
    37,665.96/51,993 = 32,339.40/x
  3. Step 3: Cross multiply
    37,665.96x = 51,993 × 32,339.40
  4. Step 4: Simplify right side
    37,665.96x = 1,681,422,424.20
  5. Step 5: Solve for x
    x = 1,681,422,424.20/37,665.96
  6. Step 6: Final answer
    x = 44,640.37

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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.