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Finding the Fourth Proportional to 38,003, 57,012.06 and 11,706.62

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Solution

The fourth proportional to 38,003, 57,012.06 and 11,706.62 is: 17,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003 : 57,012.06 = 11,706.62 : x
  2. Step 2: Convert to fraction form
    38,003/57,012.06 = 11,706.62/x
  3. Step 3: Cross multiply
    38,003x = 57,012.06 × 11,706.62
  4. Step 4: Simplify right side
    38,003x = 667,418,521.84
  5. Step 5: Solve for x
    x = 667,418,521.84/38,003
  6. Step 6: Final answer
    x = 17,562.26

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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.