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Finding the Fourth Proportional to 31,970.57, 44,118.37 and 17,631

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Solution

The fourth proportional to 31,970.57, 44,118.37 and 17,631 is: 24,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.57 : 44,118.37 = 17,631 : x
  2. Step 2: Convert to fraction form
    31,970.57/44,118.37 = 17,631/x
  3. Step 3: Cross multiply
    31,970.57x = 44,118.37 × 17,631
  4. Step 4: Simplify right side
    31,970.57x = 777,850,981.47
  5. Step 5: Solve for x
    x = 777,850,981.47/31,970.57
  6. Step 6: Final answer
    x = 24,330.22

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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.