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Finding the Fourth Proportional to 18,202.50, 27,300.68 and 5,056.20

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Solution

The fourth proportional to 18,202.50, 27,300.68 and 5,056.20 is: 7,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.50 : 27,300.68 = 5,056.20 : x
  2. Step 2: Convert to fraction form
    18,202.50/27,300.68 = 5,056.20/x
  3. Step 3: Cross multiply
    18,202.50x = 27,300.68 × 5,056.20
  4. Step 4: Simplify right side
    18,202.50x = 138,037,698.22
  5. Step 5: Solve for x
    x = 138,037,698.22/18,202.50
  6. Step 6: Final answer
    x = 7,583.45

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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.