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Finding the Fourth Proportional to 32,771.92, 49,157.92 and 9,398.48

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Solution

The fourth proportional to 32,771.92, 49,157.92 and 9,398.48 is: 14,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.92 : 49,157.92 = 9,398.48 : x
  2. Step 2: Convert to fraction form
    32,771.92/49,157.92 = 9,398.48/x
  3. Step 3: Cross multiply
    32,771.92x = 49,157.92 × 9,398.48
  4. Step 4: Simplify right side
    32,771.92x = 462,009,727.96
  5. Step 5: Solve for x
    x = 462,009,727.96/32,771.92
  6. Step 6: Final answer
    x = 14,097.73

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1.5x scale

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.