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Finding the Fourth Proportional to 54,577.70, 81,866.55 and 48,016.70

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Solution

The fourth proportional to 54,577.70, 81,866.55 and 48,016.70 is: 72,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577.70 : 81,866.55 = 48,016.70 : x
  2. Step 2: Convert to fraction form
    54,577.70/81,866.55 = 48,016.70/x
  3. Step 3: Cross multiply
    54,577.70x = 81,866.55 × 48,016.70
  4. Step 4: Simplify right side
    54,577.70x = 3,930,961,571.39
  5. Step 5: Solve for x
    x = 3,930,961,571.39/54,577.70
  6. Step 6: Final answer
    x = 72,025.05

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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.