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Finding the Fourth Proportional to 74,049.32, 102,185.52 and 42,228.46

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Solution

The fourth proportional to 74,049.32, 102,185.52 and 42,228.46 is: 58,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,049.32 : 102,185.52 = 42,228.46 : x
  2. Step 2: Convert to fraction form
    74,049.32/102,185.52 = 42,228.46/x
  3. Step 3: Cross multiply
    74,049.32x = 102,185.52 × 42,228.46
  4. Step 4: Simplify right side
    74,049.32x = 4,315,137,143.90
  5. Step 5: Solve for x
    x = 4,315,137,143.90/74,049.32
  6. Step 6: Final answer
    x = 58,273.83

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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.