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Finding the Fourth Proportional to 53,489.40, 80,234.10 and 20,210.55

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Solution

The fourth proportional to 53,489.40, 80,234.10 and 20,210.55 is: 30,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.40 : 80,234.10 = 20,210.55 : x
  2. Step 2: Convert to fraction form
    53,489.40/80,234.10 = 20,210.55/x
  3. Step 3: Cross multiply
    53,489.40x = 80,234.10 × 20,210.55
  4. Step 4: Simplify right side
    53,489.40x = 1,621,575,289.76
  5. Step 5: Solve for x
    x = 1,621,575,289.76/53,489.40
  6. Step 6: Final answer
    x = 30,315.83

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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.