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Finding the Fourth Proportional to 31,850.42, 43,953.80 and 17,510.49

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Solution

The fourth proportional to 31,850.42, 43,953.80 and 17,510.49 is: 24,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.42 : 43,953.80 = 17,510.49 : x
  2. Step 2: Convert to fraction form
    31,850.42/43,953.80 = 17,510.49/x
  3. Step 3: Cross multiply
    31,850.42x = 43,953.80 × 17,510.49
  4. Step 4: Simplify right side
    31,850.42x = 769,652,487.81
  5. Step 5: Solve for x
    x = 769,652,487.81/31,850.42
  6. Step 6: Final answer
    x = 24,164.60

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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.