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Finding the Fourth Proportional to 35,462.24, 53,193.12 and 10,838.24

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Solution

The fourth proportional to 35,462.24, 53,193.12 and 10,838.24 is: 16,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.24 : 53,193.12 = 10,838.24 : x
  2. Step 2: Convert to fraction form
    35,462.24/53,193.12 = 10,838.24/x
  3. Step 3: Cross multiply
    35,462.24x = 53,193.12 × 10,838.24
  4. Step 4: Simplify right side
    35,462.24x = 576,519,800.91
  5. Step 5: Solve for x
    x = 576,519,800.91/35,462.24
  6. Step 6: Final answer
    x = 16,257.29

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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.