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Finding the Fourth Proportional to 76,286.94, 114,462 and 41,185.32

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Solution

The fourth proportional to 76,286.94, 114,462 and 41,185.32 is: 61,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,286.94 : 114,462 = 41,185.32 : x
  2. Step 2: Convert to fraction form
    76,286.94/114,462 = 41,185.32/x
  3. Step 3: Cross multiply
    76,286.94x = 114,462 × 41,185.32
  4. Step 4: Simplify right side
    76,286.94x = 4,714,154,097.84
  5. Step 5: Solve for x
    x = 4,714,154,097.84/76,286.94
  6. Step 6: Final answer
    x = 61,795.03

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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.