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Finding the Fourth Proportional to 105,930.22, 158,905.80 and 34,824.03

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Solution

The fourth proportional to 105,930.22, 158,905.80 and 34,824.03 is: 52,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,930.22 : 158,905.80 = 34,824.03 : x
  2. Step 2: Convert to fraction form
    105,930.22/158,905.80 = 34,824.03/x
  3. Step 3: Cross multiply
    105,930.22x = 158,905.80 × 34,824.03
  4. Step 4: Simplify right side
    105,930.22x = 5,533,740,346.37
  5. Step 5: Solve for x
    x = 5,533,740,346.37/105,930.22
  6. Step 6: Final answer
    x = 52,239.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.