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Finding the Fourth Proportional to 107,971.83, 161,980.95 and 33,097.14

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Solution

The fourth proportional to 107,971.83, 161,980.95 and 33,097.14 is: 49,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,971.83 : 161,980.95 = 33,097.14 : x
  2. Step 2: Convert to fraction form
    107,971.83/161,980.95 = 33,097.14/x
  3. Step 3: Cross multiply
    107,971.83x = 161,980.95 × 33,097.14
  4. Step 4: Simplify right side
    107,971.83x = 5,361,106,179.48
  5. Step 5: Solve for x
    x = 5,361,106,179.48/107,971.83
  6. Step 6: Final answer
    x = 49,652.82

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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.