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Finding the Fourth Proportional to 29,954.82, 44,928.32 and 8,894.43

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Solution

The fourth proportional to 29,954.82, 44,928.32 and 8,894.43 is: 13,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.82 : 44,928.32 = 8,894.43 : x
  2. Step 2: Convert to fraction form
    29,954.82/44,928.32 = 8,894.43/x
  3. Step 3: Cross multiply
    29,954.82x = 44,928.32 × 8,894.43
  4. Step 4: Simplify right side
    29,954.82x = 399,611,752.79
  5. Step 5: Solve for x
    x = 399,611,752.79/29,954.82
  6. Step 6: Final answer
    x = 13,340.48

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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.