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Finding the Fourth Proportional to 40,161.40, 55,423.20 and 22,256.62

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Solution

The fourth proportional to 40,161.40, 55,423.20 and 22,256.62 is: 30,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,161.40 : 55,423.20 = 22,256.62 : x
  2. Step 2: Convert to fraction form
    40,161.40/55,423.20 = 22,256.62/x
  3. Step 3: Cross multiply
    40,161.40x = 55,423.20 × 22,256.62
  4. Step 4: Simplify right side
    40,161.40x = 1,233,533,101.58
  5. Step 5: Solve for x
    x = 1,233,533,101.58/40,161.40
  6. Step 6: Final answer
    x = 30,714.39

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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.