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Finding the Fourth Proportional to 57,590.87, 86,330.81 and 29,524.10

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Solution

The fourth proportional to 57,590.87, 86,330.81 and 29,524.10 is: 44,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,590.87 : 86,330.81 = 29,524.10 : x
  2. Step 2: Convert to fraction form
    57,590.87/86,330.81 = 29,524.10/x
  3. Step 3: Cross multiply
    57,590.87x = 86,330.81 × 29,524.10
  4. Step 4: Simplify right side
    57,590.87x = 2,548,839,109.68
  5. Step 5: Solve for x
    x = 2,548,839,109.68/57,590.87
  6. Step 6: Final answer
    x = 44,257.70

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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.