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Finding the Fourth Proportional to 48,953.49, 73,463.05 and 31,435.62

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Solution

The fourth proportional to 48,953.49, 73,463.05 and 31,435.62 is: 47,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,953.49 : 73,463.05 = 31,435.62 : x
  2. Step 2: Convert to fraction form
    48,953.49/73,463.05 = 31,435.62/x
  3. Step 3: Cross multiply
    48,953.49x = 73,463.05 × 31,435.62
  4. Step 4: Simplify right side
    48,953.49x = 2,309,356,523.84
  5. Step 5: Solve for x
    x = 2,309,356,523.84/48,953.49
  6. Step 6: Final answer
    x = 47,174.50

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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.