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Finding the Fourth Proportional to 34,211.70, 51,320.46 and 12,023.16

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Solution

The fourth proportional to 34,211.70, 51,320.46 and 12,023.16 is: 18,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211.70 : 51,320.46 = 12,023.16 : x
  2. Step 2: Convert to fraction form
    34,211.70/51,320.46 = 12,023.16/x
  3. Step 3: Cross multiply
    34,211.70x = 51,320.46 × 12,023.16
  4. Step 4: Simplify right side
    34,211.70x = 617,034,101.85
  5. Step 5: Solve for x
    x = 617,034,101.85/34,211.70
  6. Step 6: Final answer
    x = 18,035.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.