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Finding the Fourth Proportional to 175,405.91, 263,092.46 and 49,057.45

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Solution

The fourth proportional to 175,405.91, 263,092.46 and 49,057.45 is: 73,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,405.91 : 263,092.46 = 49,057.45 : x
  2. Step 2: Convert to fraction form
    175,405.91/263,092.46 = 49,057.45/x
  3. Step 3: Cross multiply
    175,405.91x = 263,092.46 × 49,057.45
  4. Step 4: Simplify right side
    175,405.91x = 12,906,644,298.81
  5. Step 5: Solve for x
    x = 12,906,644,298.81/175,405.91
  6. Step 6: Final answer
    x = 73,581.58

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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.