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Finding the Fourth Proportional to 48,952.74, 73,461.92 and 31,434.87

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Solution

The fourth proportional to 48,952.74, 73,461.92 and 31,434.87 is: 47,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,952.74 : 73,461.92 = 31,434.87 : x
  2. Step 2: Convert to fraction form
    48,952.74/73,461.92 = 31,434.87/x
  3. Step 3: Cross multiply
    48,952.74x = 73,461.92 × 31,434.87
  4. Step 4: Simplify right side
    48,952.74x = 2,309,265,905.15
  5. Step 5: Solve for x
    x = 2,309,265,905.15/48,952.74
  6. Step 6: Final answer
    x = 47,173.37

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Why These Related Problems?

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