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Finding the Fourth Proportional to 32,771.12, 45,224.04 and 17,867.12

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Solution

The fourth proportional to 32,771.12, 45,224.04 and 17,867.12 is: 24,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.12 : 45,224.04 = 17,867.12 : x
  2. Step 2: Convert to fraction form
    32,771.12/45,224.04 = 17,867.12/x
  3. Step 3: Cross multiply
    32,771.12x = 45,224.04 × 17,867.12
  4. Step 4: Simplify right side
    32,771.12x = 808,023,349.56
  5. Step 5: Solve for x
    x = 808,023,349.56/32,771.12
  6. Step 6: Final answer
    x = 24,656.57

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1.5x scale

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.