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Finding the Fourth Proportional to 70,582.87, 105,780.84 and 51,774.85

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Solution

The fourth proportional to 70,582.87, 105,780.84 and 51,774.85 is: 77,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.87 : 105,780.84 = 51,774.85 : x
  2. Step 2: Convert to fraction form
    70,582.87/105,780.84 = 51,774.85/x
  3. Step 3: Cross multiply
    70,582.87x = 105,780.84 × 51,774.85
  4. Step 4: Simplify right side
    70,582.87x = 5,476,786,594.97
  5. Step 5: Solve for x
    x = 5,476,786,594.97/70,582.87
  6. Step 6: Final answer
    x = 77,593.71

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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.