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Finding the Fourth Proportional to 86,218.50, 129,327.75 and 23,889

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Solution

The fourth proportional to 86,218.50, 129,327.75 and 23,889 is: 35,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,218.50 : 129,327.75 = 23,889 : x
  2. Step 2: Convert to fraction form
    86,218.50/129,327.75 = 23,889/x
  3. Step 3: Cross multiply
    86,218.50x = 129,327.75 × 23,889
  4. Step 4: Simplify right side
    86,218.50x = 3,089,510,619.75
  5. Step 5: Solve for x
    x = 3,089,510,619.75/86,218.50
  6. Step 6: Final answer
    x = 35,833.50

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1.5x scale

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.