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Finding the Fourth Proportional to 32,906.62, 45,399.18 and 20,975.32

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Solution

The fourth proportional to 32,906.62, 45,399.18 and 20,975.32 is: 28,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.62 : 45,399.18 = 20,975.32 : x
  2. Step 2: Convert to fraction form
    32,906.62/45,399.18 = 20,975.32/x
  3. Step 3: Cross multiply
    32,906.62x = 45,399.18 × 20,975.32
  4. Step 4: Simplify right side
    32,906.62x = 952,262,328.24
  5. Step 5: Solve for x
    x = 952,262,328.24/32,906.62
  6. Step 6: Final answer
    x = 28,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.