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Finding the Fourth Proportional to 172,406.62, 258,614.25 and 47,748.70

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Solution

The fourth proportional to 172,406.62, 258,614.25 and 47,748.70 is: 71,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,406.62 : 258,614.25 = 47,748.70 : x
  2. Step 2: Convert to fraction form
    172,406.62/258,614.25 = 47,748.70/x
  3. Step 3: Cross multiply
    172,406.62x = 258,614.25 × 47,748.70
  4. Step 4: Simplify right side
    172,406.62x = 12,348,494,238.98
  5. Step 5: Solve for x
    x = 12,348,494,238.98/172,406.62
  6. Step 6: Final answer
    x = 71,624.25

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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.