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Finding the Fourth Proportional to 30,200.63, 45,266.74 and 15,378.23

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Solution

The fourth proportional to 30,200.63, 45,266.74 and 15,378.23 is: 23,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.63 : 45,266.74 = 15,378.23 : x
  2. Step 2: Convert to fraction form
    30,200.63/45,266.74 = 15,378.23/x
  3. Step 3: Cross multiply
    30,200.63x = 45,266.74 × 15,378.23
  4. Step 4: Simplify right side
    30,200.63x = 696,122,413.79
  5. Step 5: Solve for x
    x = 696,122,413.79/30,200.63
  6. Step 6: Final answer
    x = 23,049.93

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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.