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Finding the Fourth Proportional to 84,817, 127,225.50 and 26,449

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Solution

The fourth proportional to 84,817, 127,225.50 and 26,449 is: 39,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,817 : 127,225.50 = 26,449 : x
  2. Step 2: Convert to fraction form
    84,817/127,225.50 = 26,449/x
  3. Step 3: Cross multiply
    84,817x = 127,225.50 × 26,449
  4. Step 4: Simplify right side
    84,817x = 3,364,987,249.50
  5. Step 5: Solve for x
    x = 3,364,987,249.50/84,817
  6. Step 6: Final answer
    x = 39,673.50

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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.