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Finding the Fourth Proportional to 52,281.25, 78,377.78 and 22,676.79

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Solution

The fourth proportional to 52,281.25, 78,377.78 and 22,676.79 is: 33,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,281.25 : 78,377.78 = 22,676.79 : x
  2. Step 2: Convert to fraction form
    52,281.25/78,377.78 = 22,676.79/x
  3. Step 3: Cross multiply
    52,281.25x = 78,377.78 × 22,676.79
  4. Step 4: Simplify right side
    52,281.25x = 1,777,356,457.73
  5. Step 5: Solve for x
    x = 1,777,356,457.73/52,281.25
  6. Step 6: Final answer
    x = 33,996.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.