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Finding the Fourth Proportional to 29,819.94, 44,735.39 and 9,830.61

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Solution

The fourth proportional to 29,819.94, 44,735.39 and 9,830.61 is: 14,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.94 : 44,735.39 = 9,830.61 : x
  2. Step 2: Convert to fraction form
    29,819.94/44,735.39 = 9,830.61/x
  3. Step 3: Cross multiply
    29,819.94x = 44,735.39 × 9,830.61
  4. Step 4: Simplify right side
    29,819.94x = 439,776,123.13
  5. Step 5: Solve for x
    x = 439,776,123.13/29,819.94
  6. Step 6: Final answer
    x = 14,747.72

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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.