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Finding the Fourth Proportional to 98,508.37, 147,781.84 and 35,311.58

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Solution

The fourth proportional to 98,508.37, 147,781.84 and 35,311.58 is: 52,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,508.37 : 147,781.84 = 35,311.58 : x
  2. Step 2: Convert to fraction form
    98,508.37/147,781.84 = 35,311.58/x
  3. Step 3: Cross multiply
    98,508.37x = 147,781.84 × 35,311.58
  4. Step 4: Simplify right side
    98,508.37x = 5,218,410,265.71
  5. Step 5: Solve for x
    x = 5,218,410,265.71/98,508.37
  6. Step 6: Final answer
    x = 52,974.29

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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.