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Finding the Fourth Proportional to 34,100.30, 51,152.88 and 11,911.16

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Solution

The fourth proportional to 34,100.30, 51,152.88 and 11,911.16 is: 17,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.30 : 51,152.88 = 11,911.16 : x
  2. Step 2: Convert to fraction form
    34,100.30/51,152.88 = 11,911.16/x
  3. Step 3: Cross multiply
    34,100.30x = 51,152.88 × 11,911.16
  4. Step 4: Simplify right side
    34,100.30x = 609,290,138.14
  5. Step 5: Solve for x
    x = 609,290,138.14/34,100.30
  6. Step 6: Final answer
    x = 17,867.59

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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.