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Finding the Fourth Proportional to 68,535.20, 102,754.20 and 31,113.20

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Solution

The fourth proportional to 68,535.20, 102,754.20 and 31,113.20 is: 46,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535.20 : 102,754.20 = 31,113.20 : x
  2. Step 2: Convert to fraction form
    68,535.20/102,754.20 = 31,113.20/x
  3. Step 3: Cross multiply
    68,535.20x = 102,754.20 × 31,113.20
  4. Step 4: Simplify right side
    68,535.20x = 3,197,011,975.44
  5. Step 5: Solve for x
    x = 3,197,011,975.44/68,535.20
  6. Step 6: Final answer
    x = 46,647.74

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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.