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Finding the Fourth Proportional to 51,508.56, 77,269.32 and 18,220.80

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Solution

The fourth proportional to 51,508.56, 77,269.32 and 18,220.80 is: 27,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508.56 : 77,269.32 = 18,220.80 : x
  2. Step 2: Convert to fraction form
    51,508.56/77,269.32 = 18,220.80/x
  3. Step 3: Cross multiply
    51,508.56x = 77,269.32 × 18,220.80
  4. Step 4: Simplify right side
    51,508.56x = 1,407,908,825.86
  5. Step 5: Solve for x
    x = 1,407,908,825.86/51,508.56
  6. Step 6: Final answer
    x = 27,333.49

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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.