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Finding the Fourth Proportional to 77,694.14, 107,216.52 and 45,431.84

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Solution

The fourth proportional to 77,694.14, 107,216.52 and 45,431.84 is: 62,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,694.14 : 107,216.52 = 45,431.84 : x
  2. Step 2: Convert to fraction form
    77,694.14/107,216.52 = 45,431.84/x
  3. Step 3: Cross multiply
    77,694.14x = 107,216.52 × 45,431.84
  4. Step 4: Simplify right side
    77,694.14x = 4,871,043,782.00
  5. Step 5: Solve for x
    x = 4,871,043,782.00/77,694.14
  6. Step 6: Final answer
    x = 62,695.12

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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.