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Finding the Fourth Proportional to 31,970.98, 44,118.99 and 17,630.81

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Solution

The fourth proportional to 31,970.98, 44,118.99 and 17,630.81 is: 24,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970.98 : 44,118.99 = 17,630.81 : x
  2. Step 2: Convert to fraction form
    31,970.98/44,118.99 = 17,630.81/x
  3. Step 3: Cross multiply
    31,970.98x = 44,118.99 × 17,630.81
  4. Step 4: Simplify right side
    31,970.98x = 777,853,530.08
  5. Step 5: Solve for x
    x = 777,853,530.08/31,970.98
  6. Step 6: Final answer
    x = 24,329.99

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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.