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Finding the Fourth Proportional to 86,289, 129,433.50 and 23,959.56

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Solution

The fourth proportional to 86,289, 129,433.50 and 23,959.56 is: 35,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,289 : 129,433.50 = 23,959.56 : x
  2. Step 2: Convert to fraction form
    86,289/129,433.50 = 23,959.56/x
  3. Step 3: Cross multiply
    86,289x = 129,433.50 × 23,959.56
  4. Step 4: Simplify right side
    86,289x = 3,101,169,709.26
  5. Step 5: Solve for x
    x = 3,101,169,709.26/86,289
  6. Step 6: Final answer
    x = 35,939.34

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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.