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Finding the Fourth Proportional to 114,620.10, 171,930.15 and 35,733.70

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Solution

The fourth proportional to 114,620.10, 171,930.15 and 35,733.70 is: 53,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,620.10 : 171,930.15 = 35,733.70 : x
  2. Step 2: Convert to fraction form
    114,620.10/171,930.15 = 35,733.70/x
  3. Step 3: Cross multiply
    114,620.10x = 171,930.15 × 35,733.70
  4. Step 4: Simplify right side
    114,620.10x = 6,143,700,401.06
  5. Step 5: Solve for x
    x = 6,143,700,401.06/114,620.10
  6. Step 6: Final answer
    x = 53,600.55

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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.