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Finding the Fourth Proportional to 52,093.92, 78,144.48 and 20,929.20

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Solution

The fourth proportional to 52,093.92, 78,144.48 and 20,929.20 is: 31,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.92 : 78,144.48 = 20,929.20 : x
  2. Step 2: Convert to fraction form
    52,093.92/78,144.48 = 20,929.20/x
  3. Step 3: Cross multiply
    52,093.92x = 78,144.48 × 20,929.20
  4. Step 4: Simplify right side
    52,093.92x = 1,635,501,450.82
  5. Step 5: Solve for x
    x = 1,635,501,450.82/52,093.92
  6. Step 6: Final answer
    x = 31,395.25

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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.