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Finding the Fourth Proportional to 57,174.46, 85,764.12 and 17,730.70

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Solution

The fourth proportional to 57,174.46, 85,764.12 and 17,730.70 is: 26,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,174.46 : 85,764.12 = 17,730.70 : x
  2. Step 2: Convert to fraction form
    57,174.46/85,764.12 = 17,730.70/x
  3. Step 3: Cross multiply
    57,174.46x = 85,764.12 × 17,730.70
  4. Step 4: Simplify right side
    57,174.46x = 1,520,657,601.58
  5. Step 5: Solve for x
    x = 1,520,657,601.58/57,174.46
  6. Step 6: Final answer
    x = 26,596.80

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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.