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Finding the Fourth Proportional to 76,211.64, 105,145.74 and 47,919.48

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Solution

The fourth proportional to 76,211.64, 105,145.74 and 47,919.48 is: 66,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.64 : 105,145.74 = 47,919.48 : x
  2. Step 2: Convert to fraction form
    76,211.64/105,145.74 = 47,919.48/x
  3. Step 3: Cross multiply
    76,211.64x = 105,145.74 × 47,919.48
  4. Step 4: Simplify right side
    76,211.64x = 5,038,529,185.02
  5. Step 5: Solve for x
    x = 5,038,529,185.02/76,211.64
  6. Step 6: Final answer
    x = 66,112.33

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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.