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Finding the Fourth Proportional to 29,114, 40,180.56 and 17,936

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Solution

The fourth proportional to 29,114, 40,180.56 and 17,936 is: 24,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 40,180.56 = 17,936 : x
  2. Step 2: Convert to fraction form
    29,114/40,180.56 = 17,936/x
  3. Step 3: Cross multiply
    29,114x = 40,180.56 × 17,936
  4. Step 4: Simplify right side
    29,114x = 720,678,524.16
  5. Step 5: Solve for x
    x = 720,678,524.16/29,114
  6. Step 6: Final answer
    x = 24,753.68

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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.