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Finding the Fourth Proportional to 97,662.87, 146,506.01 and 34,469.94

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Solution

The fourth proportional to 97,662.87, 146,506.01 and 34,469.94 is: 51,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662.87 : 146,506.01 = 34,469.94 : x
  2. Step 2: Convert to fraction form
    97,662.87/146,506.01 = 34,469.94/x
  3. Step 3: Cross multiply
    97,662.87x = 146,506.01 × 34,469.94
  4. Step 4: Simplify right side
    97,662.87x = 5,050,053,374.34
  5. Step 5: Solve for x
    x = 5,050,053,374.34/97,662.87
  6. Step 6: Final answer
    x = 51,709.04

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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.