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Finding the Fourth Proportional to 30,924.89, 42,711.17 and 20,894.75

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Solution

The fourth proportional to 30,924.89, 42,711.17 and 20,894.75 is: 28,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.89 : 42,711.17 = 20,894.75 : x
  2. Step 2: Convert to fraction form
    30,924.89/42,711.17 = 20,894.75/x
  3. Step 3: Cross multiply
    30,924.89x = 42,711.17 × 20,894.75
  4. Step 4: Simplify right side
    30,924.89x = 892,438,901.33
  5. Step 5: Solve for x
    x = 892,438,901.33/30,924.89
  6. Step 6: Final answer
    x = 28,858.28

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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.