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Finding the Fourth Proportional to 40,968, 61,453.44 and 23,429.76

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Solution

The fourth proportional to 40,968, 61,453.44 and 23,429.76 is: 35,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,968 : 61,453.44 = 23,429.76 : x
  2. Step 2: Convert to fraction form
    40,968/61,453.44 = 23,429.76/x
  3. Step 3: Cross multiply
    40,968x = 61,453.44 × 23,429.76
  4. Step 4: Simplify right side
    40,968x = 1,439,839,350.37
  5. Step 5: Solve for x
    x = 1,439,839,350.37/40,968
  6. Step 6: Final answer
    x = 35,145.46

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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.