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Finding the Fourth Proportional to 29,870.97, 44,811.31 and 11,157.54

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Solution

The fourth proportional to 29,870.97, 44,811.31 and 11,157.54 is: 16,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.97 : 44,811.31 = 11,157.54 : x
  2. Step 2: Convert to fraction form
    29,870.97/44,811.31 = 11,157.54/x
  3. Step 3: Cross multiply
    29,870.97x = 44,811.31 × 11,157.54
  4. Step 4: Simplify right side
    29,870.97x = 499,983,983.78
  5. Step 5: Solve for x
    x = 499,983,983.78/29,870.97
  6. Step 6: Final answer
    x = 16,738.12

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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.