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Finding the Fourth Proportional to 69,704.20, 96,200.04 and 41,410

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Solution

The fourth proportional to 69,704.20, 96,200.04 and 41,410 is: 57,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,704.20 : 96,200.04 = 41,410 : x
  2. Step 2: Convert to fraction form
    69,704.20/96,200.04 = 41,410/x
  3. Step 3: Cross multiply
    69,704.20x = 96,200.04 × 41,410
  4. Step 4: Simplify right side
    69,704.20x = 3,983,643,656.40
  5. Step 5: Solve for x
    x = 3,983,643,656.40/69,704.20
  6. Step 6: Final answer
    x = 57,150.70

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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.