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Finding the Fourth Proportional to 84,867, 127,300.50 and 29,463

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Solution

The fourth proportional to 84,867, 127,300.50 and 29,463 is: 44,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,867 : 127,300.50 = 29,463 : x
  2. Step 2: Convert to fraction form
    84,867/127,300.50 = 29,463/x
  3. Step 3: Cross multiply
    84,867x = 127,300.50 × 29,463
  4. Step 4: Simplify right side
    84,867x = 3,750,654,631.50
  5. Step 5: Solve for x
    x = 3,750,654,631.50/84,867
  6. Step 6: Final answer
    x = 44,194.50

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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.