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Finding the Fourth Proportional to 52,176.97, 78,276.78 and 17,115.31

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Solution

The fourth proportional to 52,176.97, 78,276.78 and 17,115.31 is: 25,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.97 : 78,276.78 = 17,115.31 : x
  2. Step 2: Convert to fraction form
    52,176.97/78,276.78 = 17,115.31/x
  3. Step 3: Cross multiply
    52,176.97x = 78,276.78 × 17,115.31
  4. Step 4: Simplify right side
    52,176.97x = 1,339,731,355.50
  5. Step 5: Solve for x
    x = 1,339,731,355.50/52,176.97
  6. Step 6: Final answer
    x = 25,676.68

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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.