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Finding the Fourth Proportional to 54,062, 74,604.74 and 30,189.02

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Solution

The fourth proportional to 54,062, 74,604.74 and 30,189.02 is: 41,660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,062 : 74,604.74 = 30,189.02 : x
  2. Step 2: Convert to fraction form
    54,062/74,604.74 = 30,189.02/x
  3. Step 3: Cross multiply
    54,062x = 74,604.74 × 30,189.02
  4. Step 4: Simplify right side
    54,062x = 2,252,243,987.95
  5. Step 5: Solve for x
    x = 2,252,243,987.95/54,062
  6. Step 6: Final answer
    x = 41,660.39

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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.