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Finding the Fourth Proportional to 109,874.16, 164,809.60 and 34,993.44

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Solution

The fourth proportional to 109,874.16, 164,809.60 and 34,993.44 is: 52,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.16 : 164,809.60 = 34,993.44 : x
  2. Step 2: Convert to fraction form
    109,874.16/164,809.60 = 34,993.44/x
  3. Step 3: Cross multiply
    109,874.16x = 164,809.60 × 34,993.44
  4. Step 4: Simplify right side
    109,874.16x = 5,767,254,849.02
  5. Step 5: Solve for x
    x = 5,767,254,849.02/109,874.16
  6. Step 6: Final answer
    x = 52,489.64

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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.