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Finding the Fourth Proportional to 29,930.65, 44,895.67 and 11,462.65

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Solution

The fourth proportional to 29,930.65, 44,895.67 and 11,462.65 is: 17,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.65 : 44,895.67 = 11,462.65 : x
  2. Step 2: Convert to fraction form
    29,930.65/44,895.67 = 11,462.65/x
  3. Step 3: Cross multiply
    29,930.65x = 44,895.67 × 11,462.65
  4. Step 4: Simplify right side
    29,930.65x = 514,623,351.73
  5. Step 5: Solve for x
    x = 514,623,351.73/29,930.65
  6. Step 6: Final answer
    x = 17,193.86

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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.