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Finding the Fourth Proportional to 77,885.12, 107,444 and 51,016

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Solution

The fourth proportional to 77,885.12, 107,444 and 51,016 is: 70,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,885.12 : 107,444 = 51,016 : x
  2. Step 2: Convert to fraction form
    77,885.12/107,444 = 51,016/x
  3. Step 3: Cross multiply
    77,885.12x = 107,444 × 51,016
  4. Step 4: Simplify right side
    77,885.12x = 5,481,363,104
  5. Step 5: Solve for x
    x = 5,481,363,104/77,885.12
  6. Step 6: Final answer
    x = 70,377.54

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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.