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Finding the Fourth Proportional to 34,968.88, 52,416.24 and 23,848

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Solution

The fourth proportional to 34,968.88, 52,416.24 and 23,848 is: 35,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968.88 : 52,416.24 = 23,848 : x
  2. Step 2: Convert to fraction form
    34,968.88/52,416.24 = 23,848/x
  3. Step 3: Cross multiply
    34,968.88x = 52,416.24 × 23,848
  4. Step 4: Simplify right side
    34,968.88x = 1,250,022,491.52
  5. Step 5: Solve for x
    x = 1,250,022,491.52/34,968.88
  6. Step 6: Final answer
    x = 35,746.71

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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.