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Finding the Fourth Proportional to 40,212.84, 55,493.86 and 22,308.20

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Solution

The fourth proportional to 40,212.84, 55,493.86 and 22,308.20 is: 30,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,212.84 : 55,493.86 = 22,308.20 : x
  2. Step 2: Convert to fraction form
    40,212.84/55,493.86 = 22,308.20/x
  3. Step 3: Cross multiply
    40,212.84x = 55,493.86 × 22,308.20
  4. Step 4: Simplify right side
    40,212.84x = 1,237,968,127.65
  5. Step 5: Solve for x
    x = 1,237,968,127.65/40,212.84
  6. Step 6: Final answer
    x = 30,785.39

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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.