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Finding the Fourth Proportional to 34,112.25, 51,168 and 13,335.57

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Solution

The fourth proportional to 34,112.25, 51,168 and 13,335.57 is: 20,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112.25 : 51,168 = 13,335.57 : x
  2. Step 2: Convert to fraction form
    34,112.25/51,168 = 13,335.57/x
  3. Step 3: Cross multiply
    34,112.25x = 51,168 × 13,335.57
  4. Step 4: Simplify right side
    34,112.25x = 682,354,445.76
  5. Step 5: Solve for x
    x = 682,354,445.76/34,112.25
  6. Step 6: Final answer
    x = 20,003.21

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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.