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Finding the Fourth Proportional to 31,980.32, 44,133.75 and 17,834.07

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Solution

The fourth proportional to 31,980.32, 44,133.75 and 17,834.07 is: 24,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.32 : 44,133.75 = 17,834.07 : x
  2. Step 2: Convert to fraction form
    31,980.32/44,133.75 = 17,834.07/x
  3. Step 3: Cross multiply
    31,980.32x = 44,133.75 × 17,834.07
  4. Step 4: Simplify right side
    31,980.32x = 787,084,297.69
  5. Step 5: Solve for x
    x = 787,084,297.69/31,980.32
  6. Step 6: Final answer
    x = 24,611.52

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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.