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Finding the Fourth Proportional to 29,761.21, 44,642.49 and 7,574.50

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Solution

The fourth proportional to 29,761.21, 44,642.49 and 7,574.50 is: 11,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761.21 : 44,642.49 = 7,574.50 : x
  2. Step 2: Convert to fraction form
    29,761.21/44,642.49 = 7,574.50/x
  3. Step 3: Cross multiply
    29,761.21x = 44,642.49 × 7,574.50
  4. Step 4: Simplify right side
    29,761.21x = 338,144,540.51
  5. Step 5: Solve for x
    x = 338,144,540.51/29,761.21
  6. Step 6: Final answer
    x = 11,361.92

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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.