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Finding the Fourth Proportional to 77,102.44, 106,405.38 and 46,882.84

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Solution

The fourth proportional to 77,102.44, 106,405.38 and 46,882.84 is: 64,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,102.44 : 106,405.38 = 46,882.84 : x
  2. Step 2: Convert to fraction form
    77,102.44/106,405.38 = 46,882.84/x
  3. Step 3: Cross multiply
    77,102.44x = 106,405.38 × 46,882.84
  4. Step 4: Simplify right side
    77,102.44x = 4,988,586,405.68
  5. Step 5: Solve for x
    x = 4,988,586,405.68/77,102.44
  6. Step 6: Final answer
    x = 64,700.76

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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.