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Finding the Fourth Proportional to 31,800.42, 43,884 and 17,652.96

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Solution

The fourth proportional to 31,800.42, 43,884 and 17,652.96 is: 24,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.42 : 43,884 = 17,652.96 : x
  2. Step 2: Convert to fraction form
    31,800.42/43,884 = 17,652.96/x
  3. Step 3: Cross multiply
    31,800.42x = 43,884 × 17,652.96
  4. Step 4: Simplify right side
    31,800.42x = 774,682,496.64
  5. Step 5: Solve for x
    x = 774,682,496.64/31,800.42
  6. Step 6: Final answer
    x = 24,360.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.