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Finding the Fourth Proportional to 53,813.89, 74,262.01 and 31,153.84

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Solution

The fourth proportional to 53,813.89, 74,262.01 and 31,153.84 is: 42,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.89 : 74,262.01 = 31,153.84 : x
  2. Step 2: Convert to fraction form
    53,813.89/74,262.01 = 31,153.84/x
  3. Step 3: Cross multiply
    53,813.89x = 74,262.01 × 31,153.84
  4. Step 4: Simplify right side
    53,813.89x = 2,313,546,777.62
  5. Step 5: Solve for x
    x = 2,313,546,777.62/53,813.89
  6. Step 6: Final answer
    x = 42,991.63

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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.