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Finding the Fourth Proportional to 29,887.34, 41,243.72 and 17,142.66

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Solution

The fourth proportional to 29,887.34, 41,243.72 and 17,142.66 is: 23,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,887.34 : 41,243.72 = 17,142.66 : x
  2. Step 2: Convert to fraction form
    29,887.34/41,243.72 = 17,142.66/x
  3. Step 3: Cross multiply
    29,887.34x = 41,243.72 × 17,142.66
  4. Step 4: Simplify right side
    29,887.34x = 707,026,983.38
  5. Step 5: Solve for x
    x = 707,026,983.38/29,887.34
  6. Step 6: Final answer
    x = 23,656.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.