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Finding the Fourth Proportional to 37,842.38, 52,224.11 and 21,075.38

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Solution

The fourth proportional to 37,842.38, 52,224.11 and 21,075.38 is: 29,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.38 : 52,224.11 = 21,075.38 : x
  2. Step 2: Convert to fraction form
    37,842.38/52,224.11 = 21,075.38/x
  3. Step 3: Cross multiply
    37,842.38x = 52,224.11 × 21,075.38
  4. Step 4: Simplify right side
    37,842.38x = 1,100,642,596.91
  5. Step 5: Solve for x
    x = 1,100,642,596.91/37,842.38
  6. Step 6: Final answer
    x = 29,084.92

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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.