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Finding the Fourth Proportional to 109,395.46, 164,093.20 and 35,523.46

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Solution

The fourth proportional to 109,395.46, 164,093.20 and 35,523.46 is: 53,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,395.46 : 164,093.20 = 35,523.46 : x
  2. Step 2: Convert to fraction form
    109,395.46/164,093.20 = 35,523.46/x
  3. Step 3: Cross multiply
    109,395.46x = 164,093.20 × 35,523.46
  4. Step 4: Simplify right side
    109,395.46x = 5,829,158,226.47
  5. Step 5: Solve for x
    x = 5,829,158,226.47/109,395.46
  6. Step 6: Final answer
    x = 53,285.19

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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.