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Finding the Fourth Proportional to 30,928.64, 42,716.34 and 20,898.50

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Solution

The fourth proportional to 30,928.64, 42,716.34 and 20,898.50 is: 28,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.64 : 42,716.34 = 20,898.50 : x
  2. Step 2: Convert to fraction form
    30,928.64/42,716.34 = 20,898.50/x
  3. Step 3: Cross multiply
    30,928.64x = 42,716.34 × 20,898.50
  4. Step 4: Simplify right side
    30,928.64x = 892,707,217.91
  5. Step 5: Solve for x
    x = 892,707,217.91/30,928.64
  6. Step 6: Final answer
    x = 28,863.45

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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.