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Finding the Fourth Proportional to 34,656.70, 51,984.56 and 8,361.22

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Solution

The fourth proportional to 34,656.70, 51,984.56 and 8,361.22 is: 12,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.70 : 51,984.56 = 8,361.22 : x
  2. Step 2: Convert to fraction form
    34,656.70/51,984.56 = 8,361.22/x
  3. Step 3: Cross multiply
    34,656.70x = 51,984.56 × 8,361.22
  4. Step 4: Simplify right side
    34,656.70x = 434,654,342.76
  5. Step 5: Solve for x
    x = 434,654,342.76/34,656.70
  6. Step 6: Final answer
    x = 12,541.71

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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.