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Finding the Fourth Proportional to 30,969.93, 46,451.73 and 8,482.61

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Solution

The fourth proportional to 30,969.93, 46,451.73 and 8,482.61 is: 12,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.93 : 46,451.73 = 8,482.61 : x
  2. Step 2: Convert to fraction form
    30,969.93/46,451.73 = 8,482.61/x
  3. Step 3: Cross multiply
    30,969.93x = 46,451.73 × 8,482.61
  4. Step 4: Simplify right side
    30,969.93x = 394,031,909.42
  5. Step 5: Solve for x
    x = 394,031,909.42/30,969.93
  6. Step 6: Final answer
    x = 12,723.05

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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.