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Finding the Fourth Proportional to 78,268.22, 117,410.54 and 33,899.46

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Solution

The fourth proportional to 78,268.22, 117,410.54 and 33,899.46 is: 50,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,268.22 : 117,410.54 = 33,899.46 : x
  2. Step 2: Convert to fraction form
    78,268.22/117,410.54 = 33,899.46/x
  3. Step 3: Cross multiply
    78,268.22x = 117,410.54 × 33,899.46
  4. Step 4: Simplify right side
    78,268.22x = 3,980,153,904.31
  5. Step 5: Solve for x
    x = 3,980,153,904.31/78,268.22
  6. Step 6: Final answer
    x = 50,852.75

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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.