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Finding the Fourth Proportional to 77,908.67, 116,770.74 and 35,753.22

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Solution

The fourth proportional to 77,908.67, 116,770.74 and 35,753.22 is: 53,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,908.67 : 116,770.74 = 35,753.22 : x
  2. Step 2: Convert to fraction form
    77,908.67/116,770.74 = 35,753.22/x
  3. Step 3: Cross multiply
    77,908.67x = 116,770.74 × 35,753.22
  4. Step 4: Simplify right side
    77,908.67x = 4,174,929,956.78
  5. Step 5: Solve for x
    x = 4,174,929,956.78/77,908.67
  6. Step 6: Final answer
    x = 53,587.49

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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.