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Finding the Fourth Proportional to 49,930, 68,903.40 and 27,575.44

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Solution

The fourth proportional to 49,930, 68,903.40 and 27,575.44 is: 38,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,930 : 68,903.40 = 27,575.44 : x
  2. Step 2: Convert to fraction form
    49,930/68,903.40 = 27,575.44/x
  3. Step 3: Cross multiply
    49,930x = 68,903.40 × 27,575.44
  4. Step 4: Simplify right side
    49,930x = 1,900,041,572.50
  5. Step 5: Solve for x
    x = 1,900,041,572.50/49,930
  6. Step 6: Final answer
    x = 38,054.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.