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Finding the Fourth Proportional to 47,269, 65,230.94 and 25,758.70

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Solution

The fourth proportional to 47,269, 65,230.94 and 25,758.70 is: 35,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269 : 65,230.94 = 25,758.70 : x
  2. Step 2: Convert to fraction form
    47,269/65,230.94 = 25,758.70/x
  3. Step 3: Cross multiply
    47,269x = 65,230.94 × 25,758.70
  4. Step 4: Simplify right side
    47,269x = 1,680,264,214.18
  5. Step 5: Solve for x
    x = 1,680,264,214.18/47,269
  6. Step 6: Final answer
    x = 35,546.85

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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.