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Finding the Fourth Proportional to 35,896.24, 53,842.38 and 12,524.32

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Solution

The fourth proportional to 35,896.24, 53,842.38 and 12,524.32 is: 18,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.24 : 53,842.38 = 12,524.32 : x
  2. Step 2: Convert to fraction form
    35,896.24/53,842.38 = 12,524.32/x
  3. Step 3: Cross multiply
    35,896.24x = 53,842.38 × 12,524.32
  4. Step 4: Simplify right side
    35,896.24x = 674,339,196.68
  5. Step 5: Solve for x
    x = 674,339,196.68/35,896.24
  6. Step 6: Final answer
    x = 18,785.79

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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.