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Finding the Fourth Proportional to 86,291, 129,436.50 and 23,961.50

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Solution

The fourth proportional to 86,291, 129,436.50 and 23,961.50 is: 35,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,291 : 129,436.50 = 23,961.50 : x
  2. Step 2: Convert to fraction form
    86,291/129,436.50 = 23,961.50/x
  3. Step 3: Cross multiply
    86,291x = 129,436.50 × 23,961.50
  4. Step 4: Simplify right side
    86,291x = 3,101,492,694.75
  5. Step 5: Solve for x
    x = 3,101,492,694.75/86,291
  6. Step 6: Final answer
    x = 35,942.25

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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.