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Finding the Fourth Proportional to 49,842.92, 74,764.56 and 14,782.88

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Solution

The fourth proportional to 49,842.92, 74,764.56 and 14,782.88 is: 22,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842.92 : 74,764.56 = 14,782.88 : x
  2. Step 2: Convert to fraction form
    49,842.92/74,764.56 = 14,782.88/x
  3. Step 3: Cross multiply
    49,842.92x = 74,764.56 × 14,782.88
  4. Step 4: Simplify right side
    49,842.92x = 1,105,235,518.73
  5. Step 5: Solve for x
    x = 1,105,235,518.73/49,842.92
  6. Step 6: Final answer
    x = 22,174.37

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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.