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Finding the Fourth Proportional to 55,648.33, 76,821.29 and 31,770.39

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Solution

The fourth proportional to 55,648.33, 76,821.29 and 31,770.39 is: 43,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.33 : 76,821.29 = 31,770.39 : x
  2. Step 2: Convert to fraction form
    55,648.33/76,821.29 = 31,770.39/x
  3. Step 3: Cross multiply
    55,648.33x = 76,821.29 × 31,770.39
  4. Step 4: Simplify right side
    55,648.33x = 2,440,642,343.60
  5. Step 5: Solve for x
    x = 2,440,642,343.60/55,648.33
  6. Step 6: Final answer
    x = 43,858.32

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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.