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Finding the Fourth Proportional to 29,908.80, 44,867.10 and 10,182.06

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Solution

The fourth proportional to 29,908.80, 44,867.10 and 10,182.06 is: 15,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,908.80 : 44,867.10 = 10,182.06 : x
  2. Step 2: Convert to fraction form
    29,908.80/44,867.10 = 10,182.06/x
  3. Step 3: Cross multiply
    29,908.80x = 44,867.10 × 10,182.06
  4. Step 4: Simplify right side
    29,908.80x = 456,839,504.23
  5. Step 5: Solve for x
    x = 456,839,504.23/29,908.80
  6. Step 6: Final answer
    x = 15,274.42

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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.