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Finding the Fourth Proportional to 86,189.17, 129,283.75 and 27,029.60

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Solution

The fourth proportional to 86,189.17, 129,283.75 and 27,029.60 is: 40,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,189.17 : 129,283.75 = 27,029.60 : x
  2. Step 2: Convert to fraction form
    86,189.17/129,283.75 = 27,029.60/x
  3. Step 3: Cross multiply
    86,189.17x = 129,283.75 × 27,029.60
  4. Step 4: Simplify right side
    86,189.17x = 3,494,488,049
  5. Step 5: Solve for x
    x = 3,494,488,049/86,189.17
  6. Step 6: Final answer
    x = 40,544.40

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1.5x scale

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.