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Finding the Fourth Proportional to 123,395.41, 185,104.40 and 34,648.31

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Solution

The fourth proportional to 123,395.41, 185,104.40 and 34,648.31 is: 51,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,395.41 : 185,104.40 = 34,648.31 : x
  2. Step 2: Convert to fraction form
    123,395.41/185,104.40 = 34,648.31/x
  3. Step 3: Cross multiply
    123,395.41x = 185,104.40 × 34,648.31
  4. Step 4: Simplify right side
    123,395.41x = 6,413,555,226.26
  5. Step 5: Solve for x
    x = 6,413,555,226.26/123,395.41
  6. Step 6: Final answer
    x = 51,975.64

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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.