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Finding the Fourth Proportional to 54,323.79, 74,965.41 and 30,452.01

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Solution

The fourth proportional to 54,323.79, 74,965.41 and 30,452.01 is: 42,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,323.79 : 74,965.41 = 30,452.01 : x
  2. Step 2: Convert to fraction form
    54,323.79/74,965.41 = 30,452.01/x
  3. Step 3: Cross multiply
    54,323.79x = 74,965.41 × 30,452.01
  4. Step 4: Simplify right side
    54,323.79x = 2,282,847,414.97
  5. Step 5: Solve for x
    x = 2,282,847,414.97/54,323.79
  6. Step 6: Final answer
    x = 42,022.98

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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.