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Finding the Fourth Proportional to 49,206.48, 73,810 and 12,270.48

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Solution

The fourth proportional to 49,206.48, 73,810 and 12,270.48 is: 18,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206.48 : 73,810 = 12,270.48 : x
  2. Step 2: Convert to fraction form
    49,206.48/73,810 = 12,270.48/x
  3. Step 3: Cross multiply
    49,206.48x = 73,810 × 12,270.48
  4. Step 4: Simplify right side
    49,206.48x = 905,684,128.80
  5. Step 5: Solve for x
    x = 905,684,128.80/49,206.48
  6. Step 6: Final answer
    x = 18,405.79

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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.