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Finding the Fourth Proportional to 56,923.60, 85,404.54 and 35,839

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Solution

The fourth proportional to 56,923.60, 85,404.54 and 35,839 is: 53,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,923.60 : 85,404.54 = 35,839 : x
  2. Step 2: Convert to fraction form
    56,923.60/85,404.54 = 35,839/x
  3. Step 3: Cross multiply
    56,923.60x = 85,404.54 × 35,839
  4. Step 4: Simplify right side
    56,923.60x = 3,060,813,309.06
  5. Step 5: Solve for x
    x = 3,060,813,309.06/56,923.60
  6. Step 6: Final answer
    x = 53,770.55

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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.