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Finding the Fourth Proportional to 102,576.74, 153,849.72 and 32,446.94

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Solution

The fourth proportional to 102,576.74, 153,849.72 and 32,446.94 is: 48,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,576.74 : 153,849.72 = 32,446.94 : x
  2. Step 2: Convert to fraction form
    102,576.74/153,849.72 = 32,446.94/x
  3. Step 3: Cross multiply
    102,576.74x = 153,849.72 × 32,446.94
  4. Step 4: Simplify right side
    102,576.74x = 4,991,952,127.56
  5. Step 5: Solve for x
    x = 4,991,952,127.56/102,576.74
  6. Step 6: Final answer
    x = 48,665.54

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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.