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Finding the Fourth Proportional to 30,078.36, 41,512.38 and 17,507.16

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Solution

The fourth proportional to 30,078.36, 41,512.38 and 17,507.16 is: 24,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.36 : 41,512.38 = 17,507.16 : x
  2. Step 2: Convert to fraction form
    30,078.36/41,512.38 = 17,507.16/x
  3. Step 3: Cross multiply
    30,078.36x = 41,512.38 × 17,507.16
  4. Step 4: Simplify right side
    30,078.36x = 726,763,878.64
  5. Step 5: Solve for x
    x = 726,763,878.64/30,078.36
  6. Step 6: Final answer
    x = 24,162.35

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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.