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Finding the Fourth Proportional to 86,006.84, 129,059.40 and 33,409.50

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Solution

The fourth proportional to 86,006.84, 129,059.40 and 33,409.50 is: 50,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.84 : 129,059.40 = 33,409.50 : x
  2. Step 2: Convert to fraction form
    86,006.84/129,059.40 = 33,409.50/x
  3. Step 3: Cross multiply
    86,006.84x = 129,059.40 × 33,409.50
  4. Step 4: Simplify right side
    86,006.84x = 4,311,810,024.30
  5. Step 5: Solve for x
    x = 4,311,810,024.30/86,006.84
  6. Step 6: Final answer
    x = 50,133.34

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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.