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Finding the Fourth Proportional to 31,847.86, 43,949.73 and 17,700.40

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Solution

The fourth proportional to 31,847.86, 43,949.73 and 17,700.40 is: 24,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.86 : 43,949.73 = 17,700.40 : x
  2. Step 2: Convert to fraction form
    31,847.86/43,949.73 = 17,700.40/x
  3. Step 3: Cross multiply
    31,847.86x = 43,949.73 × 17,700.40
  4. Step 4: Simplify right side
    31,847.86x = 777,927,800.89
  5. Step 5: Solve for x
    x = 777,927,800.89/31,847.86
  6. Step 6: Final answer
    x = 24,426.38

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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.