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Finding the Fourth Proportional to 34,114.88, 51,133.44 and 15,608

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Solution

The fourth proportional to 34,114.88, 51,133.44 and 15,608 is: 23,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.88 : 51,133.44 = 15,608 : x
  2. Step 2: Convert to fraction form
    34,114.88/51,133.44 = 15,608/x
  3. Step 3: Cross multiply
    34,114.88x = 51,133.44 × 15,608
  4. Step 4: Simplify right side
    34,114.88x = 798,090,731.52
  5. Step 5: Solve for x
    x = 798,090,731.52/34,114.88
  6. Step 6: Final answer
    x = 23,394.21

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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.