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Finding the Fourth Proportional to 34,920.72, 52,388.64 and 11,546.28

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Solution

The fourth proportional to 34,920.72, 52,388.64 and 11,546.28 is: 17,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,920.72 : 52,388.64 = 11,546.28 : x
  2. Step 2: Convert to fraction form
    34,920.72/52,388.64 = 11,546.28/x
  3. Step 3: Cross multiply
    34,920.72x = 52,388.64 × 11,546.28
  4. Step 4: Simplify right side
    34,920.72x = 604,893,906.26
  5. Step 5: Solve for x
    x = 604,893,906.26/34,920.72
  6. Step 6: Final answer
    x = 17,321.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.