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Finding the Fourth Proportional to 77,809, 116,713.50 and 19,441

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Solution

The fourth proportional to 77,809, 116,713.50 and 19,441 is: 29,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,809 : 116,713.50 = 19,441 : x
  2. Step 2: Convert to fraction form
    77,809/116,713.50 = 19,441/x
  3. Step 3: Cross multiply
    77,809x = 116,713.50 × 19,441
  4. Step 4: Simplify right side
    77,809x = 2,269,027,153.50
  5. Step 5: Solve for x
    x = 2,269,027,153.50/77,809
  6. Step 6: Final answer
    x = 29,161.50

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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.