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Finding the Fourth Proportional to 30,839.41, 46,258.17 and 8,652.34

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Solution

The fourth proportional to 30,839.41, 46,258.17 and 8,652.34 is: 12,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.41 : 46,258.17 = 8,652.34 : x
  2. Step 2: Convert to fraction form
    30,839.41/46,258.17 = 8,652.34/x
  3. Step 3: Cross multiply
    30,839.41x = 46,258.17 × 8,652.34
  4. Step 4: Simplify right side
    30,839.41x = 400,241,414.62
  5. Step 5: Solve for x
    x = 400,241,414.62/30,839.41
  6. Step 6: Final answer
    x = 12,978.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.