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Finding the Fourth Proportional to 53,841.66, 80,765.46 and 20,564.46

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Solution

The fourth proportional to 53,841.66, 80,765.46 and 20,564.46 is: 30,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,841.66 : 80,765.46 = 20,564.46 : x
  2. Step 2: Convert to fraction form
    53,841.66/80,765.46 = 20,564.46/x
  3. Step 3: Cross multiply
    53,841.66x = 80,765.46 × 20,564.46
  4. Step 4: Simplify right side
    53,841.66x = 1,660,898,071.55
  5. Step 5: Solve for x
    x = 1,660,898,071.55/53,841.66
  6. Step 6: Final answer
    x = 30,847.82

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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.