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Finding the Fourth Proportional to 30,643.19, 45,967.43 and 8,456.57

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Solution

The fourth proportional to 30,643.19, 45,967.43 and 8,456.57 is: 12,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.19 : 45,967.43 = 8,456.57 : x
  2. Step 2: Convert to fraction form
    30,643.19/45,967.43 = 8,456.57/x
  3. Step 3: Cross multiply
    30,643.19x = 45,967.43 × 8,456.57
  4. Step 4: Simplify right side
    30,643.19x = 388,726,517.40
  5. Step 5: Solve for x
    x = 388,726,517.40/30,643.19
  6. Step 6: Final answer
    x = 12,685.58

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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.