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Finding the Fourth Proportional to 49,438.98, 74,207.79 and 23,162.58

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Solution

The fourth proportional to 49,438.98, 74,207.79 and 23,162.58 is: 34,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,438.98 : 74,207.79 = 23,162.58 : x
  2. Step 2: Convert to fraction form
    49,438.98/74,207.79 = 23,162.58/x
  3. Step 3: Cross multiply
    49,438.98x = 74,207.79 × 23,162.58
  4. Step 4: Simplify right side
    49,438.98x = 1,718,843,872.50
  5. Step 5: Solve for x
    x = 1,718,843,872.50/49,438.98
  6. Step 6: Final answer
    x = 34,766.98

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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.