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Finding the Fourth Proportional to 54,978.46, 82,467.89 and 23,384.01

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Solution

The fourth proportional to 54,978.46, 82,467.89 and 23,384.01 is: 35,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.46 : 82,467.89 = 23,384.01 : x
  2. Step 2: Convert to fraction form
    54,978.46/82,467.89 = 23,384.01/x
  3. Step 3: Cross multiply
    54,978.46x = 82,467.89 × 23,384.01
  4. Step 4: Simplify right side
    54,978.46x = 1,928,429,964.44
  5. Step 5: Solve for x
    x = 1,928,429,964.44/54,978.46
  6. Step 6: Final answer
    x = 35,076.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.