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Finding the Fourth Proportional to 53,122.89, 73,309.80 and 31,902.51

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Solution

The fourth proportional to 53,122.89, 73,309.80 and 31,902.51 is: 44,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122.89 : 73,309.80 = 31,902.51 : x
  2. Step 2: Convert to fraction form
    53,122.89/73,309.80 = 31,902.51/x
  3. Step 3: Cross multiply
    53,122.89x = 73,309.80 × 31,902.51
  4. Step 4: Simplify right side
    53,122.89x = 2,338,766,261.05
  5. Step 5: Solve for x
    x = 2,338,766,261.05/53,122.89
  6. Step 6: Final answer
    x = 44,025.59

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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.