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Finding the Fourth Proportional to 71,075.94, 106,382.44 and 52,348.60

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Solution

The fourth proportional to 71,075.94, 106,382.44 and 52,348.60 is: 78,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.94 : 106,382.44 = 52,348.60 : x
  2. Step 2: Convert to fraction form
    71,075.94/106,382.44 = 52,348.60/x
  3. Step 3: Cross multiply
    71,075.94x = 106,382.44 × 52,348.60
  4. Step 4: Simplify right side
    71,075.94x = 5,568,971,798.58
  5. Step 5: Solve for x
    x = 5,568,971,798.58/71,075.94
  6. Step 6: Final answer
    x = 78,352.42

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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.