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Finding the Fourth Proportional to 69,794.40, 104,546.16 and 54,932.16

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Solution

The fourth proportional to 69,794.40, 104,546.16 and 54,932.16 is: 82,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,794.40 : 104,546.16 = 54,932.16 : x
  2. Step 2: Convert to fraction form
    69,794.40/104,546.16 = 54,932.16/x
  3. Step 3: Cross multiply
    69,794.40x = 104,546.16 × 54,932.16
  4. Step 4: Simplify right side
    69,794.40x = 5,742,946,388.51
  5. Step 5: Solve for x
    x = 5,742,946,388.51/69,794.40
  6. Step 6: Final answer
    x = 82,283.77

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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.