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Finding the Fourth Proportional to 64,120.34, 96,096.68 and 34,474.34

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Solution

The fourth proportional to 64,120.34, 96,096.68 and 34,474.34 is: 51,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,120.34 : 96,096.68 = 34,474.34 : x
  2. Step 2: Convert to fraction form
    64,120.34/96,096.68 = 34,474.34/x
  3. Step 3: Cross multiply
    64,120.34x = 96,096.68 × 34,474.34
  4. Step 4: Simplify right side
    64,120.34x = 3,312,869,816.34
  5. Step 5: Solve for x
    x = 3,312,869,816.34/64,120.34
  6. Step 6: Final answer
    x = 51,666.44

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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.