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Finding the Fourth Proportional to 49,855.83, 74,797.86 and 20,294.88

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Solution

The fourth proportional to 49,855.83, 74,797.86 and 20,294.88 is: 30,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.83 : 74,797.86 = 20,294.88 : x
  2. Step 2: Convert to fraction form
    49,855.83/74,797.86 = 20,294.88/x
  3. Step 3: Cross multiply
    49,855.83x = 74,797.86 × 20,294.88
  4. Step 4: Simplify right side
    49,855.83x = 1,518,013,592.96
  5. Step 5: Solve for x
    x = 1,518,013,592.96/49,855.83
  6. Step 6: Final answer
    x = 30,448.07

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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.