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Finding the Fourth Proportional to 57,164.40, 85,749.84 and 17,727.12

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Solution

The fourth proportional to 57,164.40, 85,749.84 and 17,727.12 is: 26,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,164.40 : 85,749.84 = 17,727.12 : x
  2. Step 2: Convert to fraction form
    57,164.40/85,749.84 = 17,727.12/x
  3. Step 3: Cross multiply
    57,164.40x = 85,749.84 × 17,727.12
  4. Step 4: Simplify right side
    57,164.40x = 1,520,097,703.66
  5. Step 5: Solve for x
    x = 1,520,097,703.66/57,164.40
  6. Step 6: Final answer
    x = 26,591.68

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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.