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Finding the Fourth Proportional to 29,153.30, 40,224.42 and 16,404

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Solution

The fourth proportional to 29,153.30, 40,224.42 and 16,404 is: 22,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.30 : 40,224.42 = 16,404 : x
  2. Step 2: Convert to fraction form
    29,153.30/40,224.42 = 16,404/x
  3. Step 3: Cross multiply
    29,153.30x = 40,224.42 × 16,404
  4. Step 4: Simplify right side
    29,153.30x = 659,841,385.68
  5. Step 5: Solve for x
    x = 659,841,385.68/29,153.30
  6. Step 6: Final answer
    x = 22,633.50

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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.