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Finding the Fourth Proportional to 34,191.42, 51,118.53 and 28,984.54

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Solution

The fourth proportional to 34,191.42, 51,118.53 and 28,984.54 is: 43,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.42 : 51,118.53 = 28,984.54 : x
  2. Step 2: Convert to fraction form
    34,191.42/51,118.53 = 28,984.54/x
  3. Step 3: Cross multiply
    34,191.42x = 51,118.53 × 28,984.54
  4. Step 4: Simplify right side
    34,191.42x = 1,481,647,077.53
  5. Step 5: Solve for x
    x = 1,481,647,077.53/34,191.42
  6. Step 6: Final answer
    x = 43,333.89

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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.