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Finding the Fourth Proportional to 73,994.50, 102,112.41 and 40,460.50

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Solution

The fourth proportional to 73,994.50, 102,112.41 and 40,460.50 is: 55,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,994.50 : 102,112.41 = 40,460.50 : x
  2. Step 2: Convert to fraction form
    73,994.50/102,112.41 = 40,460.50/x
  3. Step 3: Cross multiply
    73,994.50x = 102,112.41 × 40,460.50
  4. Step 4: Simplify right side
    73,994.50x = 4,131,519,164.81
  5. Step 5: Solve for x
    x = 4,131,519,164.81/73,994.50
  6. Step 6: Final answer
    x = 55,835.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.