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Finding the Fourth Proportional to 32,071.68, 48,072.96 and 18,213.12

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Solution

The fourth proportional to 32,071.68, 48,072.96 and 18,213.12 is: 27,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,071.68 : 48,072.96 = 18,213.12 : x
  2. Step 2: Convert to fraction form
    32,071.68/48,072.96 = 18,213.12/x
  3. Step 3: Cross multiply
    32,071.68x = 48,072.96 × 18,213.12
  4. Step 4: Simplify right side
    32,071.68x = 875,558,589.24
  5. Step 5: Solve for x
    x = 875,558,589.24/32,071.68
  6. Step 6: Final answer
    x = 27,300.05

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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.