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Finding the Fourth Proportional to 86,811.60, 130,231.80 and 34,222.80

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Solution

The fourth proportional to 86,811.60, 130,231.80 and 34,222.80 is: 51,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,811.60 : 130,231.80 = 34,222.80 : x
  2. Step 2: Convert to fraction form
    86,811.60/130,231.80 = 34,222.80/x
  3. Step 3: Cross multiply
    86,811.60x = 130,231.80 × 34,222.80
  4. Step 4: Simplify right side
    86,811.60x = 4,456,896,845.04
  5. Step 5: Solve for x
    x = 4,456,896,845.04/86,811.60
  6. Step 6: Final answer
    x = 51,339.88

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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.