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Finding the Fourth Proportional to 52,294.92, 78,410.73 and 21,093.72

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Solution

The fourth proportional to 52,294.92, 78,410.73 and 21,093.72 is: 31,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.92 : 78,410.73 = 21,093.72 : x
  2. Step 2: Convert to fraction form
    52,294.92/78,410.73 = 21,093.72/x
  3. Step 3: Cross multiply
    52,294.92x = 78,410.73 × 21,093.72
  4. Step 4: Simplify right side
    52,294.92x = 1,653,973,983.62
  5. Step 5: Solve for x
    x = 1,653,973,983.62/52,294.92
  6. Step 6: Final answer
    x = 31,627.81

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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.