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Finding the Fourth Proportional to 109,714.78, 164,572.12 and 38,620.68

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Solution

The fourth proportional to 109,714.78, 164,572.12 and 38,620.68 is: 57,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.78 : 164,572.12 = 38,620.68 : x
  2. Step 2: Convert to fraction form
    109,714.78/164,572.12 = 38,620.68/x
  3. Step 3: Cross multiply
    109,714.78x = 164,572.12 × 38,620.68
  4. Step 4: Simplify right side
    109,714.78x = 6,355,887,183.44
  5. Step 5: Solve for x
    x = 6,355,887,183.44/109,714.78
  6. Step 6: Final answer
    x = 57,931.00

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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.