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Finding the Fourth Proportional to 50,794.00, 76,196 and 17,509.68

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Solution

The fourth proportional to 50,794.00, 76,196 and 17,509.68 is: 26,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,794.00 : 76,196 = 17,509.68 : x
  2. Step 2: Convert to fraction form
    50,794.00/76,196 = 17,509.68/x
  3. Step 3: Cross multiply
    50,794.00x = 76,196 × 17,509.68
  4. Step 4: Simplify right side
    50,794.00x = 1,334,167,577.28
  5. Step 5: Solve for x
    x = 1,334,167,577.28/50,794.00
  6. Step 6: Final answer
    x = 26,266.25

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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.