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Finding the Fourth Proportional to 53,825.50, 74,279.19 and 30,273.50

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Solution

The fourth proportional to 53,825.50, 74,279.19 and 30,273.50 is: 41,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,825.50 : 74,279.19 = 30,273.50 : x
  2. Step 2: Convert to fraction form
    53,825.50/74,279.19 = 30,273.50/x
  3. Step 3: Cross multiply
    53,825.50x = 74,279.19 × 30,273.50
  4. Step 4: Simplify right side
    53,825.50x = 2,248,691,058.47
  5. Step 5: Solve for x
    x = 2,248,691,058.47/53,825.50
  6. Step 6: Final answer
    x = 41,777.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.