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Finding the Fourth Proportional to 55,055.36, 82,614.09 and 23,462.09

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Solution

The fourth proportional to 55,055.36, 82,614.09 and 23,462.09 is: 35,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,055.36 : 82,614.09 = 23,462.09 : x
  2. Step 2: Convert to fraction form
    55,055.36/82,614.09 = 23,462.09/x
  3. Step 3: Cross multiply
    55,055.36x = 82,614.09 × 23,462.09
  4. Step 4: Simplify right side
    55,055.36x = 1,938,299,199.56
  5. Step 5: Solve for x
    x = 1,938,299,199.56/55,055.36
  6. Step 6: Final answer
    x = 35,206.37

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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.