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Finding the Fourth Proportional to 34,676, 52,005.30 and 9,709.58

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Solution

The fourth proportional to 34,676, 52,005.30 and 9,709.58 is: 14,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676 : 52,005.30 = 9,709.58 : x
  2. Step 2: Convert to fraction form
    34,676/52,005.30 = 9,709.58/x
  3. Step 3: Cross multiply
    34,676x = 52,005.30 × 9,709.58
  4. Step 4: Simplify right side
    34,676x = 504,949,620.77
  5. Step 5: Solve for x
    x = 504,949,620.77/34,676
  6. Step 6: Final answer
    x = 14,561.93

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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.