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Finding the Fourth Proportional to 31,648.46, 43,679.40 and 19,715.54

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Solution

The fourth proportional to 31,648.46, 43,679.40 and 19,715.54 is: 27,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.46 : 43,679.40 = 19,715.54 : x
  2. Step 2: Convert to fraction form
    31,648.46/43,679.40 = 19,715.54/x
  3. Step 3: Cross multiply
    31,648.46x = 43,679.40 × 19,715.54
  4. Step 4: Simplify right side
    31,648.46x = 861,162,957.88
  5. Step 5: Solve for x
    x = 861,162,957.88/31,648.46
  6. Step 6: Final answer
    x = 27,210.26

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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.