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Finding the Fourth Proportional to 32,309.96, 48,472.68 and 15,650.52

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Solution

The fourth proportional to 32,309.96, 48,472.68 and 15,650.52 is: 23,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.96 : 48,472.68 = 15,650.52 : x
  2. Step 2: Convert to fraction form
    32,309.96/48,472.68 = 15,650.52/x
  3. Step 3: Cross multiply
    32,309.96x = 48,472.68 × 15,650.52
  4. Step 4: Simplify right side
    32,309.96x = 758,622,709.34
  5. Step 5: Solve for x
    x = 758,622,709.34/32,309.96
  6. Step 6: Final answer
    x = 23,479.53

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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.