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Finding the Fourth Proportional to 86,133.96, 129,200.94 and 50,967

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Solution

The fourth proportional to 86,133.96, 129,200.94 and 50,967 is: 76,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,133.96 : 129,200.94 = 50,967 : x
  2. Step 2: Convert to fraction form
    86,133.96/129,200.94 = 50,967/x
  3. Step 3: Cross multiply
    86,133.96x = 129,200.94 × 50,967
  4. Step 4: Simplify right side
    86,133.96x = 6,584,984,308.98
  5. Step 5: Solve for x
    x = 6,584,984,308.98/86,133.96
  6. Step 6: Final answer
    x = 76,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.