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Finding the Fourth Proportional to 86,513.36, 129,770.04 and 33,947.60

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Solution

The fourth proportional to 86,513.36, 129,770.04 and 33,947.60 is: 50,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,513.36 : 129,770.04 = 33,947.60 : x
  2. Step 2: Convert to fraction form
    86,513.36/129,770.04 = 33,947.60/x
  3. Step 3: Cross multiply
    86,513.36x = 129,770.04 × 33,947.60
  4. Step 4: Simplify right side
    86,513.36x = 4,405,381,409.90
  5. Step 5: Solve for x
    x = 4,405,381,409.90/86,513.36
  6. Step 6: Final answer
    x = 50,921.40

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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.