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Finding the Fourth Proportional to 29,930, 44,896.80 and 9,153.68

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Solution

The fourth proportional to 29,930, 44,896.80 and 9,153.68 is: 13,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930 : 44,896.80 = 9,153.68 : x
  2. Step 2: Convert to fraction form
    29,930/44,896.80 = 9,153.68/x
  3. Step 3: Cross multiply
    29,930x = 44,896.80 × 9,153.68
  4. Step 4: Simplify right side
    29,930x = 410,970,940.22
  5. Step 5: Solve for x
    x = 410,970,940.22/29,930
  6. Step 6: Final answer
    x = 13,731.07

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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.