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Finding the Fourth Proportional to 54,324.72, 74,967.44 and 30,451.36

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Solution

The fourth proportional to 54,324.72, 74,967.44 and 30,451.36 is: 42,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.72 : 74,967.44 = 30,451.36 : x
  2. Step 2: Convert to fraction form
    54,324.72/74,967.44 = 30,451.36/x
  3. Step 3: Cross multiply
    54,324.72x = 74,967.44 × 30,451.36
  4. Step 4: Simplify right side
    54,324.72x = 2,282,860,503.72
  5. Step 5: Solve for x
    x = 2,282,860,503.72/54,324.72
  6. Step 6: Final answer
    x = 42,022.50

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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.