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Finding the Fourth Proportional to 53,498.96, 80,248.08 and 41,822

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Solution

The fourth proportional to 53,498.96, 80,248.08 and 41,822 is: 62,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498.96 : 80,248.08 = 41,822 : x
  2. Step 2: Convert to fraction form
    53,498.96/80,248.08 = 41,822/x
  3. Step 3: Cross multiply
    53,498.96x = 80,248.08 × 41,822
  4. Step 4: Simplify right side
    53,498.96x = 3,356,135,201.76
  5. Step 5: Solve for x
    x = 3,356,135,201.76/53,498.96
  6. Step 6: Final answer
    x = 62,732.72

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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.