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Finding the Fourth Proportional to 53,770.98, 74,213.24 and 31,122.46

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Solution

The fourth proportional to 53,770.98, 74,213.24 and 31,122.46 is: 42,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770.98 : 74,213.24 = 31,122.46 : x
  2. Step 2: Convert to fraction form
    53,770.98/74,213.24 = 31,122.46/x
  3. Step 3: Cross multiply
    53,770.98x = 74,213.24 × 31,122.46
  4. Step 4: Simplify right side
    53,770.98x = 2,309,698,304.97
  5. Step 5: Solve for x
    x = 2,309,698,304.97/53,770.98
  6. Step 6: Final answer
    x = 42,954.37

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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.