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Finding the Fourth Proportional to 34,096.19, 51,161.80 and 15,133.82

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Solution

The fourth proportional to 34,096.19, 51,161.80 and 15,133.82 is: 22,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096.19 : 51,161.80 = 15,133.82 : x
  2. Step 2: Convert to fraction form
    34,096.19/51,161.80 = 15,133.82/x
  3. Step 3: Cross multiply
    34,096.19x = 51,161.80 × 15,133.82
  4. Step 4: Simplify right side
    34,096.19x = 774,273,472.08
  5. Step 5: Solve for x
    x = 774,273,472.08/34,096.19
  6. Step 6: Final answer
    x = 22,708.50

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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.