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Finding the Fourth Proportional to 53,164.38, 73,377.46 and 30,518.67

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Solution

The fourth proportional to 53,164.38, 73,377.46 and 30,518.67 is: 42,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164.38 : 73,377.46 = 30,518.67 : x
  2. Step 2: Convert to fraction form
    53,164.38/73,377.46 = 30,518.67/x
  3. Step 3: Cross multiply
    53,164.38x = 73,377.46 × 30,518.67
  4. Step 4: Simplify right side
    53,164.38x = 2,239,382,487.18
  5. Step 5: Solve for x
    x = 2,239,382,487.18/53,164.38
  6. Step 6: Final answer
    x = 42,121.86

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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.