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Finding the Fourth Proportional to 55,205.66, 82,809.86 and 20,145.32

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Solution

The fourth proportional to 55,205.66, 82,809.86 and 20,145.32 is: 30,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.66 : 82,809.86 = 20,145.32 : x
  2. Step 2: Convert to fraction form
    55,205.66/82,809.86 = 20,145.32/x
  3. Step 3: Cross multiply
    55,205.66x = 82,809.86 × 20,145.32
  4. Step 4: Simplify right side
    55,205.66x = 1,668,231,128.86
  5. Step 5: Solve for x
    x = 1,668,231,128.86/55,205.66
  6. Step 6: Final answer
    x = 30,218.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.