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Finding the Fourth Proportional to 109,464.36, 164,203.04 and 30,578.59

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Solution

The fourth proportional to 109,464.36, 164,203.04 and 30,578.59 is: 45,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,464.36 : 164,203.04 = 30,578.59 : x
  2. Step 2: Convert to fraction form
    109,464.36/164,203.04 = 30,578.59/x
  3. Step 3: Cross multiply
    109,464.36x = 164,203.04 × 30,578.59
  4. Step 4: Simplify right side
    109,464.36x = 5,021,097,436.91
  5. Step 5: Solve for x
    x = 5,021,097,436.91/109,464.36
  6. Step 6: Final answer
    x = 45,869.70

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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.