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Finding the Fourth Proportional to 34,500, 47,610 and 19,596

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Solution

The fourth proportional to 34,500, 47,610 and 19,596 is: 27,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 47,610 = 19,596 : x
  2. Step 2: Convert to fraction form
    34,500/47,610 = 19,596/x
  3. Step 3: Cross multiply
    34,500x = 47,610 × 19,596
  4. Step 4: Simplify right side
    34,500x = 932,965,560
  5. Step 5: Solve for x
    x = 932,965,560/34,500
  6. Step 6: Final answer
    x = 27,042.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.