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Finding the Fourth Proportional to 29,957.92, 44,935.24 and 9,181.48

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Solution

The fourth proportional to 29,957.92, 44,935.24 and 9,181.48 is: 13,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.92 : 44,935.24 = 9,181.48 : x
  2. Step 2: Convert to fraction form
    29,957.92/44,935.24 = 9,181.48/x
  3. Step 3: Cross multiply
    29,957.92x = 44,935.24 × 9,181.48
  4. Step 4: Simplify right side
    29,957.92x = 412,572,007.36
  5. Step 5: Solve for x
    x = 412,572,007.36/29,957.92
  6. Step 6: Final answer
    x = 13,771.72

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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.