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Finding the Fourth Proportional to 29,730.54, 41,027.67 and 16,301.91

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Solution

The fourth proportional to 29,730.54, 41,027.67 and 16,301.91 is: 22,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730.54 : 41,027.67 = 16,301.91 : x
  2. Step 2: Convert to fraction form
    29,730.54/41,027.67 = 16,301.91/x
  3. Step 3: Cross multiply
    29,730.54x = 41,027.67 × 16,301.91
  4. Step 4: Simplify right side
    29,730.54x = 668,829,383.85
  5. Step 5: Solve for x
    x = 668,829,383.85/29,730.54
  6. Step 6: Final answer
    x = 22,496.38

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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.