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Finding the Fourth Proportional to 40,422.38, 55,782.94 and 23,429.92

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Solution

The fourth proportional to 40,422.38, 55,782.94 and 23,429.92 is: 32,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422.38 : 55,782.94 = 23,429.92 : x
  2. Step 2: Convert to fraction form
    40,422.38/55,782.94 = 23,429.92/x
  3. Step 3: Cross multiply
    40,422.38x = 55,782.94 × 23,429.92
  4. Step 4: Simplify right side
    40,422.38x = 1,306,989,821.56
  5. Step 5: Solve for x
    x = 1,306,989,821.56/40,422.38
  6. Step 6: Final answer
    x = 32,333.32

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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.