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Finding the Fourth Proportional to 86,570.80, 129,856.20 and 27,424.60

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Solution

The fourth proportional to 86,570.80, 129,856.20 and 27,424.60 is: 41,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,570.80 : 129,856.20 = 27,424.60 : x
  2. Step 2: Convert to fraction form
    86,570.80/129,856.20 = 27,424.60/x
  3. Step 3: Cross multiply
    86,570.80x = 129,856.20 × 27,424.60
  4. Step 4: Simplify right side
    86,570.80x = 3,561,254,342.52
  5. Step 5: Solve for x
    x = 3,561,254,342.52/86,570.80
  6. Step 6: Final answer
    x = 41,136.90

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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.