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Finding the Fourth Proportional to 107,677.60, 161,501.04 and 33,796

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Solution

The fourth proportional to 107,677.60, 161,501.04 and 33,796 is: 50,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,677.60 : 161,501.04 = 33,796 : x
  2. Step 2: Convert to fraction form
    107,677.60/161,501.04 = 33,796/x
  3. Step 3: Cross multiply
    107,677.60x = 161,501.04 × 33,796
  4. Step 4: Simplify right side
    107,677.60x = 5,458,089,147.84
  5. Step 5: Solve for x
    x = 5,458,089,147.84/107,677.60
  6. Step 6: Final answer
    x = 50,689.18

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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.