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Finding the Fourth Proportional to 30,640.68, 45,928.26 and 20,106.72

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Solution

The fourth proportional to 30,640.68, 45,928.26 and 20,106.72 is: 30,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.68 : 45,928.26 = 20,106.72 : x
  2. Step 2: Convert to fraction form
    30,640.68/45,928.26 = 20,106.72/x
  3. Step 3: Cross multiply
    30,640.68x = 45,928.26 × 20,106.72
  4. Step 4: Simplify right side
    30,640.68x = 923,466,663.91
  5. Step 5: Solve for x
    x = 923,466,663.91/30,640.68
  6. Step 6: Final answer
    x = 30,138.58

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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.