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Finding the Fourth Proportional to 41,852.52, 57,707.71 and 31,223.70

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Solution

The fourth proportional to 41,852.52, 57,707.71 and 31,223.70 is: 43,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,852.52 : 57,707.71 = 31,223.70 : x
  2. Step 2: Convert to fraction form
    41,852.52/57,707.71 = 31,223.70/x
  3. Step 3: Cross multiply
    41,852.52x = 57,707.71 × 31,223.70
  4. Step 4: Simplify right side
    41,852.52x = 1,801,848,146.67
  5. Step 5: Solve for x
    x = 1,801,848,146.67/41,852.52
  6. Step 6: Final answer
    x = 43,052.32

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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.