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Finding the Fourth Proportional to 30,249, 41,745.24 and 17,681.04

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Solution

The fourth proportional to 30,249, 41,745.24 and 17,681.04 is: 24,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249 : 41,745.24 = 17,681.04 : x
  2. Step 2: Convert to fraction form
    30,249/41,745.24 = 17,681.04/x
  3. Step 3: Cross multiply
    30,249x = 41,745.24 × 17,681.04
  4. Step 4: Simplify right side
    30,249x = 738,099,258.25
  5. Step 5: Solve for x
    x = 738,099,258.25/30,249
  6. Step 6: Final answer
    x = 24,400.78

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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.