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Finding the Fourth Proportional to 57,400.82, 86,106.18 and 15,847.82

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Solution

The fourth proportional to 57,400.82, 86,106.18 and 15,847.82 is: 23,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400.82 : 86,106.18 = 15,847.82 : x
  2. Step 2: Convert to fraction form
    57,400.82/86,106.18 = 15,847.82/x
  3. Step 3: Cross multiply
    57,400.82x = 86,106.18 × 15,847.82
  4. Step 4: Simplify right side
    57,400.82x = 1,364,594,811.00
  5. Step 5: Solve for x
    x = 1,364,594,811.00/57,400.82
  6. Step 6: Final answer
    x = 23,773.09

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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.