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Finding the Fourth Proportional to 32,163.79, 48,319.85 and 30,835.21

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Solution

The fourth proportional to 32,163.79, 48,319.85 and 30,835.21 is: 46,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.79 : 48,319.85 = 30,835.21 : x
  2. Step 2: Convert to fraction form
    32,163.79/48,319.85 = 30,835.21/x
  3. Step 3: Cross multiply
    32,163.79x = 48,319.85 × 30,835.21
  4. Step 4: Simplify right side
    32,163.79x = 1,489,952,721.92
  5. Step 5: Solve for x
    x = 1,489,952,721.92/32,163.79
  6. Step 6: Final answer
    x = 46,323.92

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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.