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Finding the Fourth Proportional to 68,535.72, 102,784.14 and 26,973

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Solution

The fourth proportional to 68,535.72, 102,784.14 and 26,973 is: 40,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535.72 : 102,784.14 = 26,973 : x
  2. Step 2: Convert to fraction form
    68,535.72/102,784.14 = 26,973/x
  3. Step 3: Cross multiply
    68,535.72x = 102,784.14 × 26,973
  4. Step 4: Simplify right side
    68,535.72x = 2,772,396,608.22
  5. Step 5: Solve for x
    x = 2,772,396,608.22/68,535.72
  6. Step 6: Final answer
    x = 40,451.85

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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.