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Finding the Fourth Proportional to 56,811.15, 85,216.56 and 16,833.24

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Solution

The fourth proportional to 56,811.15, 85,216.56 and 16,833.24 is: 25,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,811.15 : 85,216.56 = 16,833.24 : x
  2. Step 2: Convert to fraction form
    56,811.15/85,216.56 = 16,833.24/x
  3. Step 3: Cross multiply
    56,811.15x = 85,216.56 × 16,833.24
  4. Step 4: Simplify right side
    56,811.15x = 1,434,470,806.45
  5. Step 5: Solve for x
    x = 1,434,470,806.45/56,811.15
  6. Step 6: Final answer
    x = 25,249.81

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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.