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Finding the Fourth Proportional to 71,976.52, 107,977.74 and 34,504.84

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Solution

The fourth proportional to 71,976.52, 107,977.74 and 34,504.84 is: 51,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,976.52 : 107,977.74 = 34,504.84 : x
  2. Step 2: Convert to fraction form
    71,976.52/107,977.74 = 34,504.84/x
  3. Step 3: Cross multiply
    71,976.52x = 107,977.74 × 34,504.84
  4. Step 4: Simplify right side
    71,976.52x = 3,725,754,642.26
  5. Step 5: Solve for x
    x = 3,725,754,642.26/71,976.52
  6. Step 6: Final answer
    x = 51,763.47

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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.