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Finding the Fourth Proportional to 76,944.54, 106,188.82 and 42,959.72

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Solution

The fourth proportional to 76,944.54, 106,188.82 and 42,959.72 is: 59,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944.54 : 106,188.82 = 42,959.72 : x
  2. Step 2: Convert to fraction form
    76,944.54/106,188.82 = 42,959.72/x
  3. Step 3: Cross multiply
    76,944.54x = 106,188.82 × 42,959.72
  4. Step 4: Simplify right side
    76,944.54x = 4,561,841,974.33
  5. Step 5: Solve for x
    x = 4,561,841,974.33/76,944.54
  6. Step 6: Final answer
    x = 59,287.40

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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.