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Finding the Fourth Proportional to 109,704.79, 164,588.16 and 30,819.70

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Solution

The fourth proportional to 109,704.79, 164,588.16 and 30,819.70 is: 46,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,704.79 : 164,588.16 = 30,819.70 : x
  2. Step 2: Convert to fraction form
    109,704.79/164,588.16 = 30,819.70/x
  3. Step 3: Cross multiply
    109,704.79x = 164,588.16 × 30,819.70
  4. Step 4: Simplify right side
    109,704.79x = 5,072,557,714.75
  5. Step 5: Solve for x
    x = 5,072,557,714.75/109,704.79
  6. Step 6: Final answer
    x = 46,238.25

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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.