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Finding the Fourth Proportional to 30,839.19, 46,261.68 and 8,652.48

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Solution

The fourth proportional to 30,839.19, 46,261.68 and 8,652.48 is: 12,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.19 : 46,261.68 = 8,652.48 : x
  2. Step 2: Convert to fraction form
    30,839.19/46,261.68 = 8,652.48/x
  3. Step 3: Cross multiply
    30,839.19x = 46,261.68 × 8,652.48
  4. Step 4: Simplify right side
    30,839.19x = 400,278,260.97
  5. Step 5: Solve for x
    x = 400,278,260.97/30,839.19
  6. Step 6: Final answer
    x = 12,979.53

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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.