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Finding the Fourth Proportional to 29,154.17, 43,703.54 and 11,396.21

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Solution

The fourth proportional to 29,154.17, 43,703.54 and 11,396.21 is: 17,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154.17 : 43,703.54 = 11,396.21 : x
  2. Step 2: Convert to fraction form
    29,154.17/43,703.54 = 11,396.21/x
  3. Step 3: Cross multiply
    29,154.17x = 43,703.54 × 11,396.21
  4. Step 4: Simplify right side
    29,154.17x = 498,054,857.33
  5. Step 5: Solve for x
    x = 498,054,857.33/29,154.17
  6. Step 6: Final answer
    x = 17,083.49

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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.