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Finding the Fourth Proportional to 103,106.36, 154,626.60 and 32,969

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Solution

The fourth proportional to 103,106.36, 154,626.60 and 32,969 is: 49,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,106.36 : 154,626.60 = 32,969 : x
  2. Step 2: Convert to fraction form
    103,106.36/154,626.60 = 32,969/x
  3. Step 3: Cross multiply
    103,106.36x = 154,626.60 × 32,969
  4. Step 4: Simplify right side
    103,106.36x = 5,097,884,375.40
  5. Step 5: Solve for x
    x = 5,097,884,375.40/103,106.36
  6. Step 6: Final answer
    x = 49,442.97

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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.