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Finding the Fourth Proportional to 52,469.62, 72,410.64 and 29,506.67

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Solution

The fourth proportional to 52,469.62, 72,410.64 and 29,506.67 is: 40,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.62 : 72,410.64 = 29,506.67 : x
  2. Step 2: Convert to fraction form
    52,469.62/72,410.64 = 29,506.67/x
  3. Step 3: Cross multiply
    52,469.62x = 72,410.64 × 29,506.67
  4. Step 4: Simplify right side
    52,469.62x = 2,136,596,858.97
  5. Step 5: Solve for x
    x = 2,136,596,858.97/52,469.62
  6. Step 6: Final answer
    x = 40,720.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.