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Finding the Fourth Proportional to 34,411.89, 51,622.97 and 12,223.40

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Solution

The fourth proportional to 34,411.89, 51,622.97 and 12,223.40 is: 18,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411.89 : 51,622.97 = 12,223.40 : x
  2. Step 2: Convert to fraction form
    34,411.89/51,622.97 = 12,223.40/x
  3. Step 3: Cross multiply
    34,411.89x = 51,622.97 × 12,223.40
  4. Step 4: Simplify right side
    34,411.89x = 631,008,211.50
  5. Step 5: Solve for x
    x = 631,008,211.50/34,411.89
  6. Step 6: Final answer
    x = 18,336.92

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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.