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Finding the Fourth Proportional to 37,010.13, 51,075.20 and 20,243.13

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Solution

The fourth proportional to 37,010.13, 51,075.20 and 20,243.13 is: 27,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,010.13 : 51,075.20 = 20,243.13 : x
  2. Step 2: Convert to fraction form
    37,010.13/51,075.20 = 20,243.13/x
  3. Step 3: Cross multiply
    37,010.13x = 51,075.20 × 20,243.13
  4. Step 4: Simplify right side
    37,010.13x = 1,033,921,913.38
  5. Step 5: Solve for x
    x = 1,033,921,913.38/37,010.13
  6. Step 6: Final answer
    x = 27,936.19

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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.