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Finding the Fourth Proportional to 51,910.60, 77,837.10 and 22,323.40

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Solution

The fourth proportional to 51,910.60, 77,837.10 and 22,323.40 is: 33,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,910.60 : 77,837.10 = 22,323.40 : x
  2. Step 2: Convert to fraction form
    51,910.60/77,837.10 = 22,323.40/x
  3. Step 3: Cross multiply
    51,910.60x = 77,837.10 × 22,323.40
  4. Step 4: Simplify right side
    51,910.60x = 1,737,588,718.14
  5. Step 5: Solve for x
    x = 1,737,588,718.14/51,910.60
  6. Step 6: Final answer
    x = 33,472.71

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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.