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Finding the Fourth Proportional to 29,493.42, 44,223.81 and 11,706.06

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Solution

The fourth proportional to 29,493.42, 44,223.81 and 11,706.06 is: 17,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493.42 : 44,223.81 = 11,706.06 : x
  2. Step 2: Convert to fraction form
    29,493.42/44,223.81 = 11,706.06/x
  3. Step 3: Cross multiply
    29,493.42x = 44,223.81 × 11,706.06
  4. Step 4: Simplify right side
    29,493.42x = 517,686,573.29
  5. Step 5: Solve for x
    x = 517,686,573.29/29,493.42
  6. Step 6: Final answer
    x = 17,552.61

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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.