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Finding the Fourth Proportional to 35,408.75, 53,122.24 and 13,222.28

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Solution

The fourth proportional to 35,408.75, 53,122.24 and 13,222.28 is: 19,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.75 : 53,122.24 = 13,222.28 : x
  2. Step 2: Convert to fraction form
    35,408.75/53,122.24 = 13,222.28/x
  3. Step 3: Cross multiply
    35,408.75x = 53,122.24 × 13,222.28
  4. Step 4: Simplify right side
    35,408.75x = 702,396,865.90
  5. Step 5: Solve for x
    x = 702,396,865.90/35,408.75
  6. Step 6: Final answer
    x = 19,836.82

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