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Finding the Fourth Proportional to 78,212.48, 117,289.36 and 33,835.84

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Solution

The fourth proportional to 78,212.48, 117,289.36 and 33,835.84 is: 50,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,212.48 : 117,289.36 = 33,835.84 : x
  2. Step 2: Convert to fraction form
    78,212.48/117,289.36 = 33,835.84/x
  3. Step 3: Cross multiply
    78,212.48x = 117,289.36 × 33,835.84
  4. Step 4: Simplify right side
    78,212.48x = 3,968,584,018.66
  5. Step 5: Solve for x
    x = 3,968,584,018.66/78,212.48
  6. Step 6: Final answer
    x = 50,741.06

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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.