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Finding the Fourth Proportional to 35,774.44, 53,653.98 and 22,441

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Solution

The fourth proportional to 35,774.44, 53,653.98 and 22,441 is: 33,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.44 : 53,653.98 = 22,441 : x
  2. Step 2: Convert to fraction form
    35,774.44/53,653.98 = 22,441/x
  3. Step 3: Cross multiply
    35,774.44x = 53,653.98 × 22,441
  4. Step 4: Simplify right side
    35,774.44x = 1,204,048,965.18
  5. Step 5: Solve for x
    x = 1,204,048,965.18/35,774.44
  6. Step 6: Final answer
    x = 33,656.68

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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.