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Finding the Fourth Proportional to 109,506.91, 164,270.74 and 30,621.14

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Solution

The fourth proportional to 109,506.91, 164,270.74 and 30,621.14 is: 45,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,506.91 : 164,270.74 = 30,621.14 : x
  2. Step 2: Convert to fraction form
    109,506.91/164,270.74 = 30,621.14/x
  3. Step 3: Cross multiply
    109,506.91x = 164,270.74 × 30,621.14
  4. Step 4: Simplify right side
    109,506.91x = 5,030,157,327.44
  5. Step 5: Solve for x
    x = 5,030,157,327.44/109,506.91
  6. Step 6: Final answer
    x = 45,934.61

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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.