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Finding the Fourth Proportional to 52,493.72, 78,753 and 20,905.60

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Solution

The fourth proportional to 52,493.72, 78,753 and 20,905.60 is: 31,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.72 : 78,753 = 20,905.60 : x
  2. Step 2: Convert to fraction form
    52,493.72/78,753 = 20,905.60/x
  3. Step 3: Cross multiply
    52,493.72x = 78,753 × 20,905.60
  4. Step 4: Simplify right side
    52,493.72x = 1,646,378,716.80
  5. Step 5: Solve for x
    x = 1,646,378,716.80/52,493.72
  6. Step 6: Final answer
    x = 31,363.35

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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.