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Finding the Fourth Proportional to 55,202.50, 82,816.80 and 18,266.50

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Solution

The fourth proportional to 55,202.50, 82,816.80 and 18,266.50 is: 27,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202.50 : 82,816.80 = 18,266.50 : x
  2. Step 2: Convert to fraction form
    55,202.50/82,816.80 = 18,266.50/x
  3. Step 3: Cross multiply
    55,202.50x = 82,816.80 × 18,266.50
  4. Step 4: Simplify right side
    55,202.50x = 1,512,773,077.20
  5. Step 5: Solve for x
    x = 1,512,773,077.20/55,202.50
  6. Step 6: Final answer
    x = 27,404.07

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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.