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Finding the Fourth Proportional to 107,213.80, 160,813.90 and 32,336.52

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Solution

The fourth proportional to 107,213.80, 160,813.90 and 32,336.52 is: 48,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.80 : 160,813.90 = 32,336.52 : x
  2. Step 2: Convert to fraction form
    107,213.80/160,813.90 = 32,336.52/x
  3. Step 3: Cross multiply
    107,213.80x = 160,813.90 × 32,336.52
  4. Step 4: Simplify right side
    107,213.80x = 5,200,161,893.63
  5. Step 5: Solve for x
    x = 5,200,161,893.63/107,213.80
  6. Step 6: Final answer
    x = 48,502.73

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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.