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Finding the Fourth Proportional to 50,971.86, 76,482.84 and 22,911.74

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Solution

The fourth proportional to 50,971.86, 76,482.84 and 22,911.74 is: 34,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.86 : 76,482.84 = 22,911.74 : x
  2. Step 2: Convert to fraction form
    50,971.86/76,482.84 = 22,911.74/x
  3. Step 3: Cross multiply
    50,971.86x = 76,482.84 × 22,911.74
  4. Step 4: Simplify right side
    50,971.86x = 1,752,354,944.54
  5. Step 5: Solve for x
    x = 1,752,354,944.54/50,971.86
  6. Step 6: Final answer
    x = 34,378.87

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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.