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Finding the Fourth Proportional to 32,604.82, 48,910.67 and 10,412.98

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Solution

The fourth proportional to 32,604.82, 48,910.67 and 10,412.98 is: 15,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.82 : 48,910.67 = 10,412.98 : x
  2. Step 2: Convert to fraction form
    32,604.82/48,910.67 = 10,412.98/x
  3. Step 3: Cross multiply
    32,604.82x = 48,910.67 × 10,412.98
  4. Step 4: Simplify right side
    32,604.82x = 509,305,828.50
  5. Step 5: Solve for x
    x = 509,305,828.50/32,604.82
  6. Step 6: Final answer
    x = 15,620.57

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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.