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Finding the Fourth Proportional to 31,854.46, 43,960.71 and 17,707

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Solution

The fourth proportional to 31,854.46, 43,960.71 and 17,707 is: 24,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.46 : 43,960.71 = 17,707 : x
  2. Step 2: Convert to fraction form
    31,854.46/43,960.71 = 17,707/x
  3. Step 3: Cross multiply
    31,854.46x = 43,960.71 × 17,707
  4. Step 4: Simplify right side
    31,854.46x = 778,412,291.97
  5. Step 5: Solve for x
    x = 778,412,291.97/31,854.46
  6. Step 6: Final answer
    x = 24,436.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.