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Finding the Fourth Proportional to 30,974.39, 42,720.86 and 20,886.84

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Solution

The fourth proportional to 30,974.39, 42,720.86 and 20,886.84 is: 28,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.39 : 42,720.86 = 20,886.84 : x
  2. Step 2: Convert to fraction form
    30,974.39/42,720.86 = 20,886.84/x
  3. Step 3: Cross multiply
    30,974.39x = 42,720.86 × 20,886.84
  4. Step 4: Simplify right side
    30,974.39x = 892,303,663.05
  5. Step 5: Solve for x
    x = 892,303,663.05/30,974.39
  6. Step 6: Final answer
    x = 28,807.79

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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.