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Finding the Fourth Proportional to 29,957.74, 44,936.74 and 7,769.54

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Solution

The fourth proportional to 29,957.74, 44,936.74 and 7,769.54 is: 11,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957.74 : 44,936.74 = 7,769.54 : x
  2. Step 2: Convert to fraction form
    29,957.74/44,936.74 = 7,769.54/x
  3. Step 3: Cross multiply
    29,957.74x = 44,936.74 × 7,769.54
  4. Step 4: Simplify right side
    29,957.74x = 349,137,798.90
  5. Step 5: Solve for x
    x = 349,137,798.90/29,957.74
  6. Step 6: Final answer
    x = 11,654.34

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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.