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Finding the Fourth Proportional to 78,243.42, 117,361.87 and 36,109.50

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Solution

The fourth proportional to 78,243.42, 117,361.87 and 36,109.50 is: 54,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,243.42 : 117,361.87 = 36,109.50 : x
  2. Step 2: Convert to fraction form
    78,243.42/117,361.87 = 36,109.50/x
  3. Step 3: Cross multiply
    78,243.42x = 117,361.87 × 36,109.50
  4. Step 4: Simplify right side
    78,243.42x = 4,237,878,444.77
  5. Step 5: Solve for x
    x = 4,237,878,444.77/78,243.42
  6. Step 6: Final answer
    x = 54,162.75

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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.