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Finding the Fourth Proportional to 53,682.50, 80,546.49 and 28,716

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Solution

The fourth proportional to 53,682.50, 80,546.49 and 28,716 is: 43,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682.50 : 80,546.49 = 28,716 : x
  2. Step 2: Convert to fraction form
    53,682.50/80,546.49 = 28,716/x
  3. Step 3: Cross multiply
    53,682.50x = 80,546.49 × 28,716
  4. Step 4: Simplify right side
    53,682.50x = 2,312,973,006.84
  5. Step 5: Solve for x
    x = 2,312,973,006.84/53,682.50
  6. Step 6: Final answer
    x = 43,086.17

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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.