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Finding the Fourth Proportional to 34,144.93, 51,220.43 and 13,084.12

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Solution

The fourth proportional to 34,144.93, 51,220.43 and 13,084.12 is: 19,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.93 : 51,220.43 = 13,084.12 : x
  2. Step 2: Convert to fraction form
    34,144.93/51,220.43 = 13,084.12/x
  3. Step 3: Cross multiply
    34,144.93x = 51,220.43 × 13,084.12
  4. Step 4: Simplify right side
    34,144.93x = 670,173,931.05
  5. Step 5: Solve for x
    x = 670,173,931.05/34,144.93
  6. Step 6: Final answer
    x = 19,627.34

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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.