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Finding the Fourth Proportional to 74,233.50, 111,356.74 and 18,829.50

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Solution

The fourth proportional to 74,233.50, 111,356.74 and 18,829.50 is: 28,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,233.50 : 111,356.74 = 18,829.50 : x
  2. Step 2: Convert to fraction form
    74,233.50/111,356.74 = 18,829.50/x
  3. Step 3: Cross multiply
    74,233.50x = 111,356.74 × 18,829.50
  4. Step 4: Simplify right side
    74,233.50x = 2,096,791,735.83
  5. Step 5: Solve for x
    x = 2,096,791,735.83/74,233.50
  6. Step 6: Final answer
    x = 28,245.90

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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.