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Finding the Fourth Proportional to 55,806.44, 83,659.10 and 20,259.45

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Solution

The fourth proportional to 55,806.44, 83,659.10 and 20,259.45 is: 30,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.44 : 83,659.10 = 20,259.45 : x
  2. Step 2: Convert to fraction form
    55,806.44/83,659.10 = 20,259.45/x
  3. Step 3: Cross multiply
    55,806.44x = 83,659.10 × 20,259.45
  4. Step 4: Simplify right side
    55,806.44x = 1,694,887,252.20
  5. Step 5: Solve for x
    x = 1,694,887,252.20/55,806.44
  6. Step 6: Final answer
    x = 30,370.82

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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.