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Finding the Fourth Proportional to 57,410.94, 86,125.32 and 29,315.79

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Solution

The fourth proportional to 57,410.94, 86,125.32 and 29,315.79 is: 43,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.94 : 86,125.32 = 29,315.79 : x
  2. Step 2: Convert to fraction form
    57,410.94/86,125.32 = 29,315.79/x
  3. Step 3: Cross multiply
    57,410.94x = 86,125.32 × 29,315.79
  4. Step 4: Simplify right side
    57,410.94x = 2,524,831,794.80
  5. Step 5: Solve for x
    x = 2,524,831,794.80/57,410.94
  6. Step 6: Final answer
    x = 43,978.23

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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.