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Finding the Fourth Proportional to 35,896.72, 53,842 and 21,853.10

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Solution

The fourth proportional to 35,896.72, 53,842 and 21,853.10 is: 32,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.72 : 53,842 = 21,853.10 : x
  2. Step 2: Convert to fraction form
    35,896.72/53,842 = 21,853.10/x
  3. Step 3: Cross multiply
    35,896.72x = 53,842 × 21,853.10
  4. Step 4: Simplify right side
    35,896.72x = 1,176,614,610.20
  5. Step 5: Solve for x
    x = 1,176,614,610.20/35,896.72
  6. Step 6: Final answer
    x = 32,777.77

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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.