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Finding the Fourth Proportional to 39,152.92, 54,033.69 and 22,157.16

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Solution

The fourth proportional to 39,152.92, 54,033.69 and 22,157.16 is: 30,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,152.92 : 54,033.69 = 22,157.16 : x
  2. Step 2: Convert to fraction form
    39,152.92/54,033.69 = 22,157.16/x
  3. Step 3: Cross multiply
    39,152.92x = 54,033.69 × 22,157.16
  4. Step 4: Simplify right side
    39,152.92x = 1,197,233,114.72
  5. Step 5: Solve for x
    x = 1,197,233,114.72/39,152.92
  6. Step 6: Final answer
    x = 30,578.39

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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.