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Finding the Fourth Proportional to 31,980.41, 44,133.06 and 17,834.16

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Solution

The fourth proportional to 31,980.41, 44,133.06 and 17,834.16 is: 24,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.41 : 44,133.06 = 17,834.16 : x
  2. Step 2: Convert to fraction form
    31,980.41/44,133.06 = 17,834.16/x
  3. Step 3: Cross multiply
    31,980.41x = 44,133.06 × 17,834.16
  4. Step 4: Simplify right side
    31,980.41x = 787,076,053.33
  5. Step 5: Solve for x
    x = 787,076,053.33/31,980.41
  6. Step 6: Final answer
    x = 24,611.20

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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.