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Finding the Fourth Proportional to 32,157.68, 48,219.24 and 11,378.48

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Solution

The fourth proportional to 32,157.68, 48,219.24 and 11,378.48 is: 17,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.68 : 48,219.24 = 11,378.48 : x
  2. Step 2: Convert to fraction form
    32,157.68/48,219.24 = 11,378.48/x
  3. Step 3: Cross multiply
    32,157.68x = 48,219.24 × 11,378.48
  4. Step 4: Simplify right side
    32,157.68x = 548,661,657.96
  5. Step 5: Solve for x
    x = 548,661,657.96/32,157.68
  6. Step 6: Final answer
    x = 17,061.61

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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.