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Finding the Fourth Proportional to 30,806.70, 42,514.32 and 17,378.52

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Solution

The fourth proportional to 30,806.70, 42,514.32 and 17,378.52 is: 23,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.70 : 42,514.32 = 17,378.52 : x
  2. Step 2: Convert to fraction form
    30,806.70/42,514.32 = 17,378.52/x
  3. Step 3: Cross multiply
    30,806.70x = 42,514.32 × 17,378.52
  4. Step 4: Simplify right side
    30,806.70x = 738,835,960.41
  5. Step 5: Solve for x
    x = 738,835,960.41/30,806.70
  6. Step 6: Final answer
    x = 23,982.96

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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.