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Finding the Fourth Proportional to 34,819.68, 52,222.84 and 9,853.71

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Solution

The fourth proportional to 34,819.68, 52,222.84 and 9,853.71 is: 14,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.68 : 52,222.84 = 9,853.71 : x
  2. Step 2: Convert to fraction form
    34,819.68/52,222.84 = 9,853.71/x
  3. Step 3: Cross multiply
    34,819.68x = 52,222.84 × 9,853.71
  4. Step 4: Simplify right side
    34,819.68x = 514,588,720.74
  5. Step 5: Solve for x
    x = 514,588,720.74/34,819.68
  6. Step 6: Final answer
    x = 14,778.67

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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.