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Finding the Fourth Proportional to 50,923.86, 70,289.91 and 33,019.98

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Solution

The fourth proportional to 50,923.86, 70,289.91 and 33,019.98 is: 45,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923.86 : 70,289.91 = 33,019.98 : x
  2. Step 2: Convert to fraction form
    50,923.86/70,289.91 = 33,019.98/x
  3. Step 3: Cross multiply
    50,923.86x = 70,289.91 × 33,019.98
  4. Step 4: Simplify right side
    50,923.86x = 2,320,971,422.40
  5. Step 5: Solve for x
    x = 2,320,971,422.40/50,923.86
  6. Step 6: Final answer
    x = 45,577.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.