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Finding the Fourth Proportional to 72,776.50, 109,164.73 and 20,185.99

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Solution

The fourth proportional to 72,776.50, 109,164.73 and 20,185.99 is: 30,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,776.50 : 109,164.73 = 20,185.99 : x
  2. Step 2: Convert to fraction form
    72,776.50/109,164.73 = 20,185.99/x
  3. Step 3: Cross multiply
    72,776.50x = 109,164.73 × 20,185.99
  4. Step 4: Simplify right side
    72,776.50x = 2,203,598,148.13
  5. Step 5: Solve for x
    x = 2,203,598,148.13/72,776.50
  6. Step 6: Final answer
    x = 30,278.98

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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.