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Finding the Fourth Proportional to 54,099.68, 74,678.38 and 48,424.42

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Solution

The fourth proportional to 54,099.68, 74,678.38 and 48,424.42 is: 66,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,099.68 : 74,678.38 = 48,424.42 : x
  2. Step 2: Convert to fraction form
    54,099.68/74,678.38 = 48,424.42/x
  3. Step 3: Cross multiply
    54,099.68x = 74,678.38 × 48,424.42
  4. Step 4: Simplify right side
    54,099.68x = 3,616,257,238.04
  5. Step 5: Solve for x
    x = 3,616,257,238.04/54,099.68
  6. Step 6: Final answer
    x = 66,844.34

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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.