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Finding the Fourth Proportional to 30,969.90, 46,454.82 and 8,783.47

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Solution

The fourth proportional to 30,969.90, 46,454.82 and 8,783.47 is: 13,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.90 : 46,454.82 = 8,783.47 : x
  2. Step 2: Convert to fraction form
    30,969.90/46,454.82 = 8,783.47/x
  3. Step 3: Cross multiply
    30,969.90x = 46,454.82 × 8,783.47
  4. Step 4: Simplify right side
    30,969.90x = 408,034,517.83
  5. Step 5: Solve for x
    x = 408,034,517.83/30,969.90
  6. Step 6: Final answer
    x = 13,175.20

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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.