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Finding the Fourth Proportional to 35,972.64, 53,912.77 and 17,224.58

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Solution

The fourth proportional to 35,972.64, 53,912.77 and 17,224.58 is: 25,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.64 : 53,912.77 = 17,224.58 : x
  2. Step 2: Convert to fraction form
    35,972.64/53,912.77 = 17,224.58/x
  3. Step 3: Cross multiply
    35,972.64x = 53,912.77 × 17,224.58
  4. Step 4: Simplify right side
    35,972.64x = 928,625,008.50
  5. Step 5: Solve for x
    x = 928,625,008.50/35,972.64
  6. Step 6: Final answer
    x = 25,814.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.