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Finding the Fourth Proportional to 123,830.34, 185,745.54 and 49,906.50

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Solution

The fourth proportional to 123,830.34, 185,745.54 and 49,906.50 is: 74,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,830.34 : 185,745.54 = 49,906.50 : x
  2. Step 2: Convert to fraction form
    123,830.34/185,745.54 = 49,906.50/x
  3. Step 3: Cross multiply
    123,830.34x = 185,745.54 × 49,906.50
  4. Step 4: Simplify right side
    123,830.34x = 9,269,909,792.01
  5. Step 5: Solve for x
    x = 9,269,909,792.01/123,830.34
  6. Step 6: Final answer
    x = 74,859.76

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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.