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Finding the Fourth Proportional to 55,615.44, 83,424.16 and 18,175.60

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Solution

The fourth proportional to 55,615.44, 83,424.16 and 18,175.60 is: 27,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,615.44 : 83,424.16 = 18,175.60 : x
  2. Step 2: Convert to fraction form
    55,615.44/83,424.16 = 18,175.60/x
  3. Step 3: Cross multiply
    55,615.44x = 83,424.16 × 18,175.60
  4. Step 4: Simplify right side
    55,615.44x = 1,516,284,162.50
  5. Step 5: Solve for x
    x = 1,516,284,162.50/55,615.44
  6. Step 6: Final answer
    x = 27,263.73

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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.