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Finding the Fourth Proportional to 65,968, 91,160.08 and 50,022.88

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Solution

The fourth proportional to 65,968, 91,160.08 and 50,022.88 is: 69,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968 : 91,160.08 = 50,022.88 : x
  2. Step 2: Convert to fraction form
    65,968/91,160.08 = 50,022.88/x
  3. Step 3: Cross multiply
    65,968x = 91,160.08 × 50,022.88
  4. Step 4: Simplify right side
    65,968x = 4,560,089,742.63
  5. Step 5: Solve for x
    x = 4,560,089,742.63/65,968
  6. Step 6: Final answer
    x = 69,125.78

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Why These Related Problems?

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