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Finding the Fourth Proportional to 51,172.32, 76,700.16 and 23,412

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Solution

The fourth proportional to 51,172.32, 76,700.16 and 23,412 is: 35,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172.32 : 76,700.16 = 23,412 : x
  2. Step 2: Convert to fraction form
    51,172.32/76,700.16 = 23,412/x
  3. Step 3: Cross multiply
    51,172.32x = 76,700.16 × 23,412
  4. Step 4: Simplify right side
    51,172.32x = 1,795,704,145.92
  5. Step 5: Solve for x
    x = 1,795,704,145.92/51,172.32
  6. Step 6: Final answer
    x = 35,091.32

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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.