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Finding the Fourth Proportional to 65,842.04, 98,704.68 and 49,181.96

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Solution

The fourth proportional to 65,842.04, 98,704.68 and 49,181.96 is: 73,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.04 : 98,704.68 = 49,181.96 : x
  2. Step 2: Convert to fraction form
    65,842.04/98,704.68 = 49,181.96/x
  3. Step 3: Cross multiply
    65,842.04x = 98,704.68 × 49,181.96
  4. Step 4: Simplify right side
    65,842.04x = 4,854,489,623.57
  5. Step 5: Solve for x
    x = 4,854,489,623.57/65,842.04
  6. Step 6: Final answer
    x = 73,729.33

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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.