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Finding the Fourth Proportional to 72,463.26, 108,601.32 and 32,453

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Solution

The fourth proportional to 72,463.26, 108,601.32 and 32,453 is: 48,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,463.26 : 108,601.32 = 32,453 : x
  2. Step 2: Convert to fraction form
    72,463.26/108,601.32 = 32,453/x
  3. Step 3: Cross multiply
    72,463.26x = 108,601.32 × 32,453
  4. Step 4: Simplify right side
    72,463.26x = 3,524,438,637.96
  5. Step 5: Solve for x
    x = 3,524,438,637.96/72,463.26
  6. Step 6: Final answer
    x = 48,637.59

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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.