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Finding the Fourth Proportional to 52,109.78, 78,168.30 and 20,945

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Solution

The fourth proportional to 52,109.78, 78,168.30 and 20,945 is: 31,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109.78 : 78,168.30 = 20,945 : x
  2. Step 2: Convert to fraction form
    52,109.78/78,168.30 = 20,945/x
  3. Step 3: Cross multiply
    52,109.78x = 78,168.30 × 20,945
  4. Step 4: Simplify right side
    52,109.78x = 1,637,235,043.50
  5. Step 5: Solve for x
    x = 1,637,235,043.50/52,109.78
  6. Step 6: Final answer
    x = 31,418.96

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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.