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Finding the Fourth Proportional to 54,075.39, 74,623.25 and 30,202.40

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Solution

The fourth proportional to 54,075.39, 74,623.25 and 30,202.40 is: 41,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,075.39 : 74,623.25 = 30,202.40 : x
  2. Step 2: Convert to fraction form
    54,075.39/74,623.25 = 30,202.40/x
  3. Step 3: Cross multiply
    54,075.39x = 74,623.25 × 30,202.40
  4. Step 4: Simplify right side
    54,075.39x = 2,253,800,721.67
  5. Step 5: Solve for x
    x = 2,253,800,721.67/54,075.39
  6. Step 6: Final answer
    x = 41,678.86

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