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Finding the Fourth Proportional to 40,422.51, 55,786.19 and 23,432.22

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Solution

The fourth proportional to 40,422.51, 55,786.19 and 23,432.22 is: 32,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422.51 : 55,786.19 = 23,432.22 : x
  2. Step 2: Convert to fraction form
    40,422.51/55,786.19 = 23,432.22/x
  3. Step 3: Cross multiply
    40,422.51x = 55,786.19 × 23,432.22
  4. Step 4: Simplify right side
    40,422.51x = 1,307,194,159.88
  5. Step 5: Solve for x
    x = 1,307,194,159.88/40,422.51
  6. Step 6: Final answer
    x = 32,338.27

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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.