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Finding the Fourth Proportional to 49,704.30, 74,556.54 and 14,643.54

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Solution

The fourth proportional to 49,704.30, 74,556.54 and 14,643.54 is: 21,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,704.30 : 74,556.54 = 14,643.54 : x
  2. Step 2: Convert to fraction form
    49,704.30/74,556.54 = 14,643.54/x
  3. Step 3: Cross multiply
    49,704.30x = 74,556.54 × 14,643.54
  4. Step 4: Simplify right side
    49,704.30x = 1,091,771,675.75
  5. Step 5: Solve for x
    x = 1,091,771,675.75/49,704.30
  6. Step 6: Final answer
    x = 21,965.34

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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.