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Finding the Fourth Proportional to 49,648.34, 74,525.56 and 20,085.50

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Solution

The fourth proportional to 49,648.34, 74,525.56 and 20,085.50 is: 30,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.34 : 74,525.56 = 20,085.50 : x
  2. Step 2: Convert to fraction form
    49,648.34/74,525.56 = 20,085.50/x
  3. Step 3: Cross multiply
    49,648.34x = 74,525.56 × 20,085.50
  4. Step 4: Simplify right side
    49,648.34x = 1,496,882,762.75
  5. Step 5: Solve for x
    x = 1,496,882,762.75/49,648.34
  6. Step 6: Final answer
    x = 30,149.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.