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Finding the Fourth Proportional to 75,562.56, 104,274.24 and 42,028.80

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Solution

The fourth proportional to 75,562.56, 104,274.24 and 42,028.80 is: 57,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,562.56 : 104,274.24 = 42,028.80 : x
  2. Step 2: Convert to fraction form
    75,562.56/104,274.24 = 42,028.80/x
  3. Step 3: Cross multiply
    75,562.56x = 104,274.24 × 42,028.80
  4. Step 4: Simplify right side
    75,562.56x = 4,382,521,178.11
  5. Step 5: Solve for x
    x = 4,382,521,178.11/75,562.56
  6. Step 6: Final answer
    x = 57,998.58

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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.