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Finding the Fourth Proportional to 36,641.49, 54,962.30 and 13,262.46

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Solution

The fourth proportional to 36,641.49, 54,962.30 and 13,262.46 is: 19,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641.49 : 54,962.30 = 13,262.46 : x
  2. Step 2: Convert to fraction form
    36,641.49/54,962.30 = 13,262.46/x
  3. Step 3: Cross multiply
    36,641.49x = 54,962.30 × 13,262.46
  4. Step 4: Simplify right side
    36,641.49x = 728,935,305.26
  5. Step 5: Solve for x
    x = 728,935,305.26/36,641.49
  6. Step 6: Final answer
    x = 19,893.71

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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.