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Finding the Fourth Proportional to 67,410.32, 101,202.96 and 51,838.88

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Solution

The fourth proportional to 67,410.32, 101,202.96 and 51,838.88 is: 77,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,410.32 : 101,202.96 = 51,838.88 : x
  2. Step 2: Convert to fraction form
    67,410.32/101,202.96 = 51,838.88/x
  3. Step 3: Cross multiply
    67,410.32x = 101,202.96 × 51,838.88
  4. Step 4: Simplify right side
    67,410.32x = 5,246,248,099.08
  5. Step 5: Solve for x
    x = 5,246,248,099.08/67,410.32
  6. Step 6: Final answer
    x = 77,825.59

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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.