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Finding the Fourth Proportional to 52,446.63, 78,697.26 and 20,849.94

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Solution

The fourth proportional to 52,446.63, 78,697.26 and 20,849.94 is: 31,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446.63 : 78,697.26 = 20,849.94 : x
  2. Step 2: Convert to fraction form
    52,446.63/78,697.26 = 20,849.94/x
  3. Step 3: Cross multiply
    52,446.63x = 78,697.26 × 20,849.94
  4. Step 4: Simplify right side
    52,446.63x = 1,640,833,149.16
  5. Step 5: Solve for x
    x = 1,640,833,149.16/52,446.63
  6. Step 6: Final answer
    x = 31,285.77

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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.