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Finding the Fourth Proportional to 29,956.86, 44,936.43 and 7,769.65

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Solution

The fourth proportional to 29,956.86, 44,936.43 and 7,769.65 is: 11,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.86 : 44,936.43 = 7,769.65 : x
  2. Step 2: Convert to fraction form
    29,956.86/44,936.43 = 7,769.65/x
  3. Step 3: Cross multiply
    29,956.86x = 44,936.43 × 7,769.65
  4. Step 4: Simplify right side
    29,956.86x = 349,140,333.35
  5. Step 5: Solve for x
    x = 349,140,333.35/29,956.86
  6. Step 6: Final answer
    x = 11,654.77

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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.