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Finding the Fourth Proportional to 86,023.50, 129,046.19 and 23,694

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Solution

The fourth proportional to 86,023.50, 129,046.19 and 23,694 is: 35,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023.50 : 129,046.19 = 23,694 : x
  2. Step 2: Convert to fraction form
    86,023.50/129,046.19 = 23,694/x
  3. Step 3: Cross multiply
    86,023.50x = 129,046.19 × 23,694
  4. Step 4: Simplify right side
    86,023.50x = 3,057,620,307.39
  5. Step 5: Solve for x
    x = 3,057,620,307.39/86,023.50
  6. Step 6: Final answer
    x = 35,544.01

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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.