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Finding the Fourth Proportional to 50,653.89, 75,984.08 and 19,489.14

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Solution

The fourth proportional to 50,653.89, 75,984.08 and 19,489.14 is: 29,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.89 : 75,984.08 = 19,489.14 : x
  2. Step 2: Convert to fraction form
    50,653.89/75,984.08 = 19,489.14/x
  3. Step 3: Cross multiply
    50,653.89x = 75,984.08 × 19,489.14
  4. Step 4: Simplify right side
    50,653.89x = 1,480,864,275.45
  5. Step 5: Solve for x
    x = 1,480,864,275.45/50,653.89
  6. Step 6: Final answer
    x = 29,234.96

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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.