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Finding the Fourth Proportional to 31,854.02, 43,958.49 and 17,706.82

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Solution

The fourth proportional to 31,854.02, 43,958.49 and 17,706.82 is: 24,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.02 : 43,958.49 = 17,706.82 : x
  2. Step 2: Convert to fraction form
    31,854.02/43,958.49 = 17,706.82/x
  3. Step 3: Cross multiply
    31,854.02x = 43,958.49 × 17,706.82
  4. Step 4: Simplify right side
    31,854.02x = 778,365,069.90
  5. Step 5: Solve for x
    x = 778,365,069.90/31,854.02
  6. Step 6: Final answer
    x = 24,435.38

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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.