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Finding the Fourth Proportional to 123,424, 185,144.64 and 49,552

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Solution

The fourth proportional to 123,424, 185,144.64 and 49,552 is: 74,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,424 : 185,144.64 = 49,552 : x
  2. Step 2: Convert to fraction form
    123,424/185,144.64 = 49,552/x
  3. Step 3: Cross multiply
    123,424x = 185,144.64 × 49,552
  4. Step 4: Simplify right side
    123,424x = 9,174,287,201.28
  5. Step 5: Solve for x
    x = 9,174,287,201.28/123,424
  6. Step 6: Final answer
    x = 74,331.47

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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.