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Finding the Fourth Proportional to 74,695.92, 103,077.75 and 41,989.33

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Solution

The fourth proportional to 74,695.92, 103,077.75 and 41,989.33 is: 57,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,695.92 : 103,077.75 = 41,989.33 : x
  2. Step 2: Convert to fraction form
    74,695.92/103,077.75 = 41,989.33/x
  3. Step 3: Cross multiply
    74,695.92x = 103,077.75 × 41,989.33
  4. Step 4: Simplify right side
    74,695.92x = 4,328,165,660.41
  5. Step 5: Solve for x
    x = 4,328,165,660.41/74,695.92
  6. Step 6: Final answer
    x = 57,943.80

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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.