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Finding the Fourth Proportional to 77,857.52, 107,443.38 and 42,047.54

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Solution

The fourth proportional to 77,857.52, 107,443.38 and 42,047.54 is: 58,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.52 : 107,443.38 = 42,047.54 : x
  2. Step 2: Convert to fraction form
    77,857.52/107,443.38 = 42,047.54/x
  3. Step 3: Cross multiply
    77,857.52x = 107,443.38 × 42,047.54
  4. Step 4: Simplify right side
    77,857.52x = 4,517,729,818.29
  5. Step 5: Solve for x
    x = 4,517,729,818.29/77,857.52
  6. Step 6: Final answer
    x = 58,025.61

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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.