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Finding the Fourth Proportional to 32,111.92, 48,157.92 and 11,330.56

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Solution

The fourth proportional to 32,111.92, 48,157.92 and 11,330.56 is: 16,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111.92 : 48,157.92 = 11,330.56 : x
  2. Step 2: Convert to fraction form
    32,111.92/48,157.92 = 11,330.56/x
  3. Step 3: Cross multiply
    32,111.92x = 48,157.92 × 11,330.56
  4. Step 4: Simplify right side
    32,111.92x = 545,656,202.04
  5. Step 5: Solve for x
    x = 545,656,202.04/32,111.92
  6. Step 6: Final answer
    x = 16,992.33

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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.