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Finding the Fourth Proportional to 98,067.32, 147,122.84 and 35,737.82

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Solution

The fourth proportional to 98,067.32, 147,122.84 and 35,737.82 is: 53,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,067.32 : 147,122.84 = 35,737.82 : x
  2. Step 2: Convert to fraction form
    98,067.32/147,122.84 = 35,737.82/x
  3. Step 3: Cross multiply
    98,067.32x = 147,122.84 × 35,737.82
  4. Step 4: Simplify right side
    98,067.32x = 5,257,848,838.19
  5. Step 5: Solve for x
    x = 5,257,848,838.19/98,067.32
  6. Step 6: Final answer
    x = 53,614.69

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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.