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Finding the Fourth Proportional to 29,957.36, 44,940.90 and 9,176

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Solution

The fourth proportional to 29,957.36, 44,940.90 and 9,176 is: 13,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.36 : 44,940.90 = 9,176 : x
  2. Step 2: Convert to fraction form
    29,957.36/44,940.90 = 9,176/x
  3. Step 3: Cross multiply
    29,957.36x = 44,940.90 × 9,176
  4. Step 4: Simplify right side
    29,957.36x = 412,377,698.40
  5. Step 5: Solve for x
    x = 412,377,698.40/29,957.36
  6. Step 6: Final answer
    x = 13,765.49

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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.