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Finding the Fourth Proportional to 50,805.43, 70,099.43 and 30,654.65

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Solution

The fourth proportional to 50,805.43, 70,099.43 and 30,654.65 is: 42,296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,805.43 : 70,099.43 = 30,654.65 : x
  2. Step 2: Convert to fraction form
    50,805.43/70,099.43 = 30,654.65/x
  3. Step 3: Cross multiply
    50,805.43x = 70,099.43 × 30,654.65
  4. Step 4: Simplify right side
    50,805.43x = 2,148,873,513.82
  5. Step 5: Solve for x
    x = 2,148,873,513.82/50,805.43
  6. Step 6: Final answer
    x = 42,296.14

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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.