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Finding the Fourth Proportional to 29,144.64, 40,149.36 and 23,174.40

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Solution

The fourth proportional to 29,144.64, 40,149.36 and 23,174.40 is: 31,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144.64 : 40,149.36 = 23,174.40 : x
  2. Step 2: Convert to fraction form
    29,144.64/40,149.36 = 23,174.40/x
  3. Step 3: Cross multiply
    29,144.64x = 40,149.36 × 23,174.40
  4. Step 4: Simplify right side
    29,144.64x = 930,437,328.38
  5. Step 5: Solve for x
    x = 930,437,328.38/29,144.64
  6. Step 6: Final answer
    x = 31,924.82

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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.