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Finding the Fourth Proportional to 86,075.64, 129,063.78 and 33,423.66

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Solution

The fourth proportional to 86,075.64, 129,063.78 and 33,423.66 is: 50,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,075.64 : 129,063.78 = 33,423.66 : x
  2. Step 2: Convert to fraction form
    86,075.64/129,063.78 = 33,423.66/x
  3. Step 3: Cross multiply
    86,075.64x = 129,063.78 × 33,423.66
  4. Step 4: Simplify right side
    86,075.64x = 4,313,783,901.03
  5. Step 5: Solve for x
    x = 4,313,783,901.03/86,075.64
  6. Step 6: Final answer
    x = 50,116.20

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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.