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Finding the Fourth Proportional to 77,910.56, 116,773.54 and 35,755.12

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Solution

The fourth proportional to 77,910.56, 116,773.54 and 35,755.12 is: 53,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910.56 : 116,773.54 = 35,755.12 : x
  2. Step 2: Convert to fraction form
    77,910.56/116,773.54 = 35,755.12/x
  3. Step 3: Cross multiply
    77,910.56x = 116,773.54 × 35,755.12
  4. Step 4: Simplify right side
    77,910.56x = 4,175,251,935.52
  5. Step 5: Solve for x
    x = 4,175,251,935.52/77,910.56
  6. Step 6: Final answer
    x = 53,590.32

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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.