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Finding the Fourth Proportional to 31,315.01, 43,214.85 and 16,974.86

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Solution

The fourth proportional to 31,315.01, 43,214.85 and 16,974.86 is: 23,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.01 : 43,214.85 = 16,974.86 : x
  2. Step 2: Convert to fraction form
    31,315.01/43,214.85 = 16,974.86/x
  3. Step 3: Cross multiply
    31,315.01x = 43,214.85 × 16,974.86
  4. Step 4: Simplify right side
    31,315.01x = 733,565,812.60
  5. Step 5: Solve for x
    x = 733,565,812.60/31,315.01
  6. Step 6: Final answer
    x = 23,425.38

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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.