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Finding the Fourth Proportional to 49,453.75, 74,189.93 and 19,873.93

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Solution

The fourth proportional to 49,453.75, 74,189.93 and 19,873.93 is: 29,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,453.75 : 74,189.93 = 19,873.93 : x
  2. Step 2: Convert to fraction form
    49,453.75/74,189.93 = 19,873.93/x
  3. Step 3: Cross multiply
    49,453.75x = 74,189.93 × 19,873.93
  4. Step 4: Simplify right side
    49,453.75x = 1,474,445,475.52
  5. Step 5: Solve for x
    x = 1,474,445,475.52/49,453.75
  6. Step 6: Final answer
    x = 29,814.63

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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.