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Finding the Fourth Proportional to 31,841.72, 43,941.44 and 17,502.50

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Solution

The fourth proportional to 31,841.72, 43,941.44 and 17,502.50 is: 24,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,841.72 : 43,941.44 = 17,502.50 : x
  2. Step 2: Convert to fraction form
    31,841.72/43,941.44 = 17,502.50/x
  3. Step 3: Cross multiply
    31,841.72x = 43,941.44 × 17,502.50
  4. Step 4: Simplify right side
    31,841.72x = 769,085,053.60
  5. Step 5: Solve for x
    x = 769,085,053.60/31,841.72
  6. Step 6: Final answer
    x = 24,153.38

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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.