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Finding the Fourth Proportional to 57,086.46, 85,620.33 and 15,536.70

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Solution

The fourth proportional to 57,086.46, 85,620.33 and 15,536.70 is: 23,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,086.46 : 85,620.33 = 15,536.70 : x
  2. Step 2: Convert to fraction form
    57,086.46/85,620.33 = 15,536.70/x
  3. Step 3: Cross multiply
    57,086.46x = 85,620.33 × 15,536.70
  4. Step 4: Simplify right side
    57,086.46x = 1,330,257,381.11
  5. Step 5: Solve for x
    x = 1,330,257,381.11/57,086.46
  6. Step 6: Final answer
    x = 23,302.50

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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.