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Finding the Fourth Proportional to 30,674.40, 46,012.62 and 8,184.85

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Solution

The fourth proportional to 30,674.40, 46,012.62 and 8,184.85 is: 12,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.40 : 46,012.62 = 8,184.85 : x
  2. Step 2: Convert to fraction form
    30,674.40/46,012.62 = 8,184.85/x
  3. Step 3: Cross multiply
    30,674.40x = 46,012.62 × 8,184.85
  4. Step 4: Simplify right side
    30,674.40x = 376,606,308.47
  5. Step 5: Solve for x
    x = 376,606,308.47/30,674.40
  6. Step 6: Final answer
    x = 12,277.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.