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Finding the Fourth Proportional to 30,387.32, 45,577.32 and 8,198.98

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Solution

The fourth proportional to 30,387.32, 45,577.32 and 8,198.98 is: 12,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387.32 : 45,577.32 = 8,198.98 : x
  2. Step 2: Convert to fraction form
    30,387.32/45,577.32 = 8,198.98/x
  3. Step 3: Cross multiply
    30,387.32x = 45,577.32 × 8,198.98
  4. Step 4: Simplify right side
    30,387.32x = 373,687,535.13
  5. Step 5: Solve for x
    x = 373,687,535.13/30,387.32
  6. Step 6: Final answer
    x = 12,297.48

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1.5x scale

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.