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Finding the Fourth Proportional to 34,207.65, 51,311.07 and 10,834.02

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Solution

The fourth proportional to 34,207.65, 51,311.07 and 10,834.02 is: 16,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207.65 : 51,311.07 = 10,834.02 : x
  2. Step 2: Convert to fraction form
    34,207.65/51,311.07 = 10,834.02/x
  3. Step 3: Cross multiply
    34,207.65x = 51,311.07 × 10,834.02
  4. Step 4: Simplify right side
    34,207.65x = 555,905,158.60
  5. Step 5: Solve for x
    x = 555,905,158.60/34,207.65
  6. Step 6: Final answer
    x = 16,250.90

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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.