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Finding the Fourth Proportional to 76,054.50, 114,083.91 and 20,650.50

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Solution

The fourth proportional to 76,054.50, 114,083.91 and 20,650.50 is: 30,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,054.50 : 114,083.91 = 20,650.50 : x
  2. Step 2: Convert to fraction form
    76,054.50/114,083.91 = 20,650.50/x
  3. Step 3: Cross multiply
    76,054.50x = 114,083.91 × 20,650.50
  4. Step 4: Simplify right side
    76,054.50x = 2,355,889,783.46
  5. Step 5: Solve for x
    x = 2,355,889,783.46/76,054.50
  6. Step 6: Final answer
    x = 30,976.34

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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.