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Finding the Fourth Proportional to 54,324.80, 74,966.78 and 30,453.02

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Solution

The fourth proportional to 54,324.80, 74,966.78 and 30,453.02 is: 42,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.80 : 74,966.78 = 30,453.02 : x
  2. Step 2: Convert to fraction form
    54,324.80/74,966.78 = 30,453.02/x
  3. Step 3: Cross multiply
    54,324.80x = 74,966.78 × 30,453.02
  4. Step 4: Simplify right side
    54,324.80x = 2,282,964,850.68
  5. Step 5: Solve for x
    x = 2,282,964,850.68/54,324.80
  6. Step 6: Final answer
    x = 42,024.36

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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.