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Finding the Fourth Proportional to 55,405.44, 83,096.01 and 15,954

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Solution

The fourth proportional to 55,405.44, 83,096.01 and 15,954 is: 23,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.44 : 83,096.01 = 15,954 : x
  2. Step 2: Convert to fraction form
    55,405.44/83,096.01 = 15,954/x
  3. Step 3: Cross multiply
    55,405.44x = 83,096.01 × 15,954
  4. Step 4: Simplify right side
    55,405.44x = 1,325,713,743.54
  5. Step 5: Solve for x
    x = 1,325,713,743.54/55,405.44
  6. Step 6: Final answer
    x = 23,927.50

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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.