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Finding the Fourth Proportional to 86,743.80, 130,119.30 and 27,577.80

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Solution

The fourth proportional to 86,743.80, 130,119.30 and 27,577.80 is: 41,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,743.80 : 130,119.30 = 27,577.80 : x
  2. Step 2: Convert to fraction form
    86,743.80/130,119.30 = 27,577.80/x
  3. Step 3: Cross multiply
    86,743.80x = 130,119.30 × 27,577.80
  4. Step 4: Simplify right side
    86,743.80x = 3,588,404,031.54
  5. Step 5: Solve for x
    x = 3,588,404,031.54/86,743.80
  6. Step 6: Final answer
    x = 41,367.84

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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.