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Finding the Fourth Proportional to 49,829.25, 74,744.15 and 12,893.25

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Solution

The fourth proportional to 49,829.25, 74,744.15 and 12,893.25 is: 19,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,829.25 : 74,744.15 = 12,893.25 : x
  2. Step 2: Convert to fraction form
    49,829.25/74,744.15 = 12,893.25/x
  3. Step 3: Cross multiply
    49,829.25x = 74,744.15 × 12,893.25
  4. Step 4: Simplify right side
    49,829.25x = 963,694,947.52
  5. Step 5: Solve for x
    x = 963,694,947.52/49,829.25
  6. Step 6: Final answer
    x = 19,339.94

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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.