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Finding the Fourth Proportional to 37,841.14, 52,221.81 and 21,075.22

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Solution

The fourth proportional to 37,841.14, 52,221.81 and 21,075.22 is: 29,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.14 : 52,221.81 = 21,075.22 : x
  2. Step 2: Convert to fraction form
    37,841.14/52,221.81 = 21,075.22/x
  3. Step 3: Cross multiply
    37,841.14x = 52,221.81 × 21,075.22
  4. Step 4: Simplify right side
    37,841.14x = 1,100,586,134.55
  5. Step 5: Solve for x
    x = 1,100,586,134.55/37,841.14
  6. Step 6: Final answer
    x = 29,084.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.