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Finding the Fourth Proportional to 32,190, 48,250.32 and 13,465.20

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Solution

The fourth proportional to 32,190, 48,250.32 and 13,465.20 is: 20,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190 : 48,250.32 = 13,465.20 : x
  2. Step 2: Convert to fraction form
    32,190/48,250.32 = 13,465.20/x
  3. Step 3: Cross multiply
    32,190x = 48,250.32 × 13,465.20
  4. Step 4: Simplify right side
    32,190x = 649,700,208.86
  5. Step 5: Solve for x
    x = 649,700,208.86/32,190
  6. Step 6: Final answer
    x = 20,183.29

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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.