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Finding the Fourth Proportional to 48,952.25, 73,461.17 and 31,434.38

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Solution

The fourth proportional to 48,952.25, 73,461.17 and 31,434.38 is: 47,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,952.25 : 73,461.17 = 31,434.38 : x
  2. Step 2: Convert to fraction form
    48,952.25/73,461.17 = 31,434.38/x
  3. Step 3: Cross multiply
    48,952.25x = 73,461.17 × 31,434.38
  4. Step 4: Simplify right side
    48,952.25x = 2,309,205,965.72
  5. Step 5: Solve for x
    x = 2,309,205,965.72/48,952.25
  6. Step 6: Final answer
    x = 47,172.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.