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Finding the Fourth Proportional to 34,194.95, 51,304.27 and 12,011.48

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Solution

The fourth proportional to 34,194.95, 51,304.27 and 12,011.48 is: 18,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194.95 : 51,304.27 = 12,011.48 : x
  2. Step 2: Convert to fraction form
    34,194.95/51,304.27 = 12,011.48/x
  3. Step 3: Cross multiply
    34,194.95x = 51,304.27 × 12,011.48
  4. Step 4: Simplify right side
    34,194.95x = 616,240,213.02
  5. Step 5: Solve for x
    x = 616,240,213.02/34,194.95
  6. Step 6: Final answer
    x = 18,021.38

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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.