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Finding the Fourth Proportional to 53,654.12, 80,488.86 and 16,721

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Solution

The fourth proportional to 53,654.12, 80,488.86 and 16,721 is: 25,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654.12 : 80,488.86 = 16,721 : x
  2. Step 2: Convert to fraction form
    53,654.12/80,488.86 = 16,721/x
  3. Step 3: Cross multiply
    53,654.12x = 80,488.86 × 16,721
  4. Step 4: Simplify right side
    53,654.12x = 1,345,854,228.06
  5. Step 5: Solve for x
    x = 1,345,854,228.06/53,654.12
  6. Step 6: Final answer
    x = 25,083.89

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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.