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Finding the Fourth Proportional to 109,514.70, 164,251.80 and 30,612.60

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Solution

The fourth proportional to 109,514.70, 164,251.80 and 30,612.60 is: 45,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,514.70 : 164,251.80 = 30,612.60 : x
  2. Step 2: Convert to fraction form
    109,514.70/164,251.80 = 30,612.60/x
  3. Step 3: Cross multiply
    109,514.70x = 164,251.80 × 30,612.60
  4. Step 4: Simplify right side
    109,514.70x = 5,028,174,652.68
  5. Step 5: Solve for x
    x = 5,028,174,652.68/109,514.70
  6. Step 6: Final answer
    x = 45,913.24

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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.