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Finding the Fourth Proportional to 28,193.50, 42,291.03 and 8,202.20

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Solution

The fourth proportional to 28,193.50, 42,291.03 and 8,202.20 is: 12,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,193.50 : 42,291.03 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    28,193.50/42,291.03 = 8,202.20/x
  3. Step 3: Cross multiply
    28,193.50x = 42,291.03 × 8,202.20
  4. Step 4: Simplify right side
    28,193.50x = 346,879,259.43
  5. Step 5: Solve for x
    x = 346,879,259.43/28,193.50
  6. Step 6: Final answer
    x = 12,303.52

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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.