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Finding the Fourth Proportional to 32,480.91, 48,723.12 and 9,109.17

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Solution

The fourth proportional to 32,480.91, 48,723.12 and 9,109.17 is: 13,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.91 : 48,723.12 = 9,109.17 : x
  2. Step 2: Convert to fraction form
    32,480.91/48,723.12 = 9,109.17/x
  3. Step 3: Cross multiply
    32,480.91x = 48,723.12 × 9,109.17
  4. Step 4: Simplify right side
    32,480.91x = 443,827,183.01
  5. Step 5: Solve for x
    x = 443,827,183.01/32,480.91
  6. Step 6: Final answer
    x = 13,664.25

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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.