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Finding the Fourth Proportional to 71,075.34, 106,664.46 and 27,804.66

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Solution

The fourth proportional to 71,075.34, 106,664.46 and 27,804.66 is: 41,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.34 : 106,664.46 = 27,804.66 : x
  2. Step 2: Convert to fraction form
    71,075.34/106,664.46 = 27,804.66/x
  3. Step 3: Cross multiply
    71,075.34x = 106,664.46 × 27,804.66
  4. Step 4: Simplify right side
    71,075.34x = 2,965,769,262.86
  5. Step 5: Solve for x
    x = 2,965,769,262.86/71,075.34
  6. Step 6: Final answer
    x = 41,727.12

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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.