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Finding the Fourth Proportional to 30,477.82, 45,716.43 and 8,290.86

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Solution

The fourth proportional to 30,477.82, 45,716.43 and 8,290.86 is: 12,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.82 : 45,716.43 = 8,290.86 : x
  2. Step 2: Convert to fraction form
    30,477.82/45,716.43 = 8,290.86/x
  3. Step 3: Cross multiply
    30,477.82x = 45,716.43 × 8,290.86
  4. Step 4: Simplify right side
    30,477.82x = 379,028,310.53
  5. Step 5: Solve for x
    x = 379,028,310.53/30,477.82
  6. Step 6: Final answer
    x = 12,436.20

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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.