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Finding the Fourth Proportional to 34,819.81, 52,223.03 and 9,853.83

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Solution

The fourth proportional to 34,819.81, 52,223.03 and 9,853.83 is: 14,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.81 : 52,223.03 = 9,853.83 : x
  2. Step 2: Convert to fraction form
    34,819.81/52,223.03 = 9,853.83/x
  3. Step 3: Cross multiply
    34,819.81x = 52,223.03 × 9,853.83
  4. Step 4: Simplify right side
    34,819.81x = 514,596,573.96
  5. Step 5: Solve for x
    x = 514,596,573.96/34,819.81
  6. Step 6: Final answer
    x = 14,778.85

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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.