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Finding the Fourth Proportional to 75,911.70, 113,776.97 and 35,330.61

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Solution

The fourth proportional to 75,911.70, 113,776.97 and 35,330.61 is: 52,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911.70 : 113,776.97 = 35,330.61 : x
  2. Step 2: Convert to fraction form
    75,911.70/113,776.97 = 35,330.61/x
  3. Step 3: Cross multiply
    75,911.70x = 113,776.97 × 35,330.61
  4. Step 4: Simplify right side
    75,911.70x = 4,019,809,381.28
  5. Step 5: Solve for x
    x = 4,019,809,381.28/75,911.70
  6. Step 6: Final answer
    x = 52,953.75

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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.