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Finding the Fourth Proportional to 51,952, 71,732.19 and 31,836.37

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Solution

The fourth proportional to 51,952, 71,732.19 and 31,836.37 is: 43,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 71,732.19 = 31,836.37 : x
  2. Step 2: Convert to fraction form
    51,952/71,732.19 = 31,836.37/x
  3. Step 3: Cross multiply
    51,952x = 71,732.19 × 31,836.37
  4. Step 4: Simplify right side
    51,952x = 2,283,692,541.75
  5. Step 5: Solve for x
    x = 2,283,692,541.75/51,952
  6. Step 6: Final answer
    x = 43,957.74

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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.