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Finding the Fourth Proportional to 30,499.80, 45,745.05 and 8,314.98

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Solution

The fourth proportional to 30,499.80, 45,745.05 and 8,314.98 is: 12,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.80 : 45,745.05 = 8,314.98 : x
  2. Step 2: Convert to fraction form
    30,499.80/45,745.05 = 8,314.98/x
  3. Step 3: Cross multiply
    30,499.80x = 45,745.05 × 8,314.98
  4. Step 4: Simplify right side
    30,499.80x = 380,369,175.85
  5. Step 5: Solve for x
    x = 380,369,175.85/30,499.80
  6. Step 6: Final answer
    x = 12,471.20

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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.