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Finding the Fourth Proportional to 68,574.44, 102,776.88 and 40,466

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Solution

The fourth proportional to 68,574.44, 102,776.88 and 40,466 is: 60,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,574.44 : 102,776.88 = 40,466 : x
  2. Step 2: Convert to fraction form
    68,574.44/102,776.88 = 40,466/x
  3. Step 3: Cross multiply
    68,574.44x = 102,776.88 × 40,466
  4. Step 4: Simplify right side
    68,574.44x = 4,158,969,226.08
  5. Step 5: Solve for x
    x = 4,158,969,226.08/68,574.44
  6. Step 6: Final answer
    x = 60,648.97

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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.