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Finding the Fourth Proportional to 35,643.24, 53,472.24 and 10,682.28

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Solution

The fourth proportional to 35,643.24, 53,472.24 and 10,682.28 is: 16,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.24 : 53,472.24 = 10,682.28 : x
  2. Step 2: Convert to fraction form
    35,643.24/53,472.24 = 10,682.28/x
  3. Step 3: Cross multiply
    35,643.24x = 53,472.24 × 10,682.28
  4. Step 4: Simplify right side
    35,643.24x = 571,205,439.91
  5. Step 5: Solve for x
    x = 571,205,439.91/35,643.24
  6. Step 6: Final answer
    x = 16,025.63

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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.