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Finding the Fourth Proportional to 86,322, 129,483.04 and 23,993.04

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Solution

The fourth proportional to 86,322, 129,483.04 and 23,993.04 is: 35,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,322 : 129,483.04 = 23,993.04 : x
  2. Step 2: Convert to fraction form
    86,322/129,483.04 = 23,993.04/x
  3. Step 3: Cross multiply
    86,322x = 129,483.04 × 23,993.04
  4. Step 4: Simplify right side
    86,322x = 3,106,691,758.04
  5. Step 5: Solve for x
    x = 3,106,691,758.04/86,322
  6. Step 6: Final answer
    x = 35,989.57

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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.