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Finding the Fourth Proportional to 31,893.38, 44,006.90 and 17,746.22

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Solution

The fourth proportional to 31,893.38, 44,006.90 and 17,746.22 is: 24,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.38 : 44,006.90 = 17,746.22 : x
  2. Step 2: Convert to fraction form
    31,893.38/44,006.90 = 17,746.22/x
  3. Step 3: Cross multiply
    31,893.38x = 44,006.90 × 17,746.22
  4. Step 4: Simplify right side
    31,893.38x = 780,956,128.92
  5. Step 5: Solve for x
    x = 780,956,128.92/31,893.38
  6. Step 6: Final answer
    x = 24,486.46

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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.