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Finding the Fourth Proportional to 49,873, 74,809.50 and 25,249

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Solution

The fourth proportional to 49,873, 74,809.50 and 25,249 is: 37,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873 : 74,809.50 = 25,249 : x
  2. Step 2: Convert to fraction form
    49,873/74,809.50 = 25,249/x
  3. Step 3: Cross multiply
    49,873x = 74,809.50 × 25,249
  4. Step 4: Simplify right side
    49,873x = 1,888,865,065.50
  5. Step 5: Solve for x
    x = 1,888,865,065.50/49,873
  6. Step 6: Final answer
    x = 37,873.50

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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.