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Finding the Fourth Proportional to 57,213.76, 85,826.17 and 17,760.28

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Solution

The fourth proportional to 57,213.76, 85,826.17 and 17,760.28 is: 26,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.76 : 85,826.17 = 17,760.28 : x
  2. Step 2: Convert to fraction form
    57,213.76/85,826.17 = 17,760.28/x
  3. Step 3: Cross multiply
    57,213.76x = 85,826.17 × 17,760.28
  4. Step 4: Simplify right side
    57,213.76x = 1,524,296,337.00
  5. Step 5: Solve for x
    x = 1,524,296,337.00/57,213.76
  6. Step 6: Final answer
    x = 26,642.13

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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.