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Finding the Fourth Proportional to 55,468, 83,202 and 22,202.88

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Solution

The fourth proportional to 55,468, 83,202 and 22,202.88 is: 33,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,468 : 83,202 = 22,202.88 : x
  2. Step 2: Convert to fraction form
    55,468/83,202 = 22,202.88/x
  3. Step 3: Cross multiply
    55,468x = 83,202 × 22,202.88
  4. Step 4: Simplify right side
    55,468x = 1,847,324,021.76
  5. Step 5: Solve for x
    x = 1,847,324,021.76/55,468
  6. Step 6: Final answer
    x = 33,304.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.