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Finding the Fourth Proportional to 34,078.96, 47,024.88 and 18,968

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Solution

The fourth proportional to 34,078.96, 47,024.88 and 18,968 is: 26,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.96 : 47,024.88 = 18,968 : x
  2. Step 2: Convert to fraction form
    34,078.96/47,024.88 = 18,968/x
  3. Step 3: Cross multiply
    34,078.96x = 47,024.88 × 18,968
  4. Step 4: Simplify right side
    34,078.96x = 891,967,923.84
  5. Step 5: Solve for x
    x = 891,967,923.84/34,078.96
  6. Step 6: Final answer
    x = 26,173.57

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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.