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Finding the Fourth Proportional to 77,910.68, 116,773.74 and 35,755.25

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Solution

The fourth proportional to 77,910.68, 116,773.74 and 35,755.25 is: 53,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910.68 : 116,773.74 = 35,755.25 : x
  2. Step 2: Convert to fraction form
    77,910.68/116,773.74 = 35,755.25/x
  3. Step 3: Cross multiply
    77,910.68x = 116,773.74 × 35,755.25
  4. Step 4: Simplify right side
    77,910.68x = 4,175,273,683.27
  5. Step 5: Solve for x
    x = 4,175,273,683.27/77,910.68
  6. Step 6: Final answer
    x = 53,590.52

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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.