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Finding the Fourth Proportional to 98,410.64, 147,620.54 and 31,855.97

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Solution

The fourth proportional to 98,410.64, 147,620.54 and 31,855.97 is: 47,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410.64 : 147,620.54 = 31,855.97 : x
  2. Step 2: Convert to fraction form
    98,410.64/147,620.54 = 31,855.97/x
  3. Step 3: Cross multiply
    98,410.64x = 147,620.54 × 31,855.97
  4. Step 4: Simplify right side
    98,410.64x = 4,702,595,942.32
  5. Step 5: Solve for x
    x = 4,702,595,942.32/98,410.64
  6. Step 6: Final answer
    x = 47,785.44

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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.