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Finding the Fourth Proportional to 172,414.62, 258,626.28 and 47,756.70

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Solution

The fourth proportional to 172,414.62, 258,626.28 and 47,756.70 is: 71,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414.62 : 258,626.28 = 47,756.70 : x
  2. Step 2: Convert to fraction form
    172,414.62/258,626.28 = 47,756.70/x
  3. Step 3: Cross multiply
    172,414.62x = 258,626.28 × 47,756.70
  4. Step 4: Simplify right side
    172,414.62x = 12,351,137,666.08
  5. Step 5: Solve for x
    x = 12,351,137,666.08/172,414.62
  6. Step 6: Final answer
    x = 71,636.25

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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.