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Finding the Fourth Proportional to 45,075, 62,206.38 and 25,203

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Solution

The fourth proportional to 45,075, 62,206.38 and 25,203 is: 34,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,075 : 62,206.38 = 25,203 : x
  2. Step 2: Convert to fraction form
    45,075/62,206.38 = 25,203/x
  3. Step 3: Cross multiply
    45,075x = 62,206.38 × 25,203
  4. Step 4: Simplify right side
    45,075x = 1,567,787,395.14
  5. Step 5: Solve for x
    x = 1,567,787,395.14/45,075
  6. Step 6: Final answer
    x = 34,781.75

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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.