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Finding the Fourth Proportional to 34,452.81, 51,655.97 and 11,957.69

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Solution

The fourth proportional to 34,452.81, 51,655.97 and 11,957.69 is: 17,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452.81 : 51,655.97 = 11,957.69 : x
  2. Step 2: Convert to fraction form
    34,452.81/51,655.97 = 11,957.69/x
  3. Step 3: Cross multiply
    34,452.81x = 51,655.97 × 11,957.69
  4. Step 4: Simplify right side
    34,452.81x = 617,685,757.84
  5. Step 5: Solve for x
    x = 617,685,757.84/34,452.81
  6. Step 6: Final answer
    x = 17,928.46

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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.