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Finding the Fourth Proportional to 57,187.52, 85,686.42 and 40,464.66

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Solution

The fourth proportional to 57,187.52, 85,686.42 and 40,464.66 is: 60,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.52 : 85,686.42 = 40,464.66 : x
  2. Step 2: Convert to fraction form
    57,187.52/85,686.42 = 40,464.66/x
  3. Step 3: Cross multiply
    57,187.52x = 85,686.42 × 40,464.66
  4. Step 4: Simplify right side
    57,187.52x = 3,467,271,851.92
  5. Step 5: Solve for x
    x = 3,467,271,851.92/57,187.52
  6. Step 6: Final answer
    x = 60,629.87

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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.