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Finding the Fourth Proportional to 33,433, 50,151.93 and 12,656.50

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Solution

The fourth proportional to 33,433, 50,151.93 and 12,656.50 is: 18,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433 : 50,151.93 = 12,656.50 : x
  2. Step 2: Convert to fraction form
    33,433/50,151.93 = 12,656.50/x
  3. Step 3: Cross multiply
    33,433x = 50,151.93 × 12,656.50
  4. Step 4: Simplify right side
    33,433x = 634,747,902.05
  5. Step 5: Solve for x
    x = 634,747,902.05/33,433
  6. Step 6: Final answer
    x = 18,985.67

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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.