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Finding the Fourth Proportional to 30,601.94, 45,896.43 and 9,820.58

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Solution

The fourth proportional to 30,601.94, 45,896.43 and 9,820.58 is: 14,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.94 : 45,896.43 = 9,820.58 : x
  2. Step 2: Convert to fraction form
    30,601.94/45,896.43 = 9,820.58/x
  3. Step 3: Cross multiply
    30,601.94x = 45,896.43 × 9,820.58
  4. Step 4: Simplify right side
    30,601.94x = 450,729,562.53
  5. Step 5: Solve for x
    x = 450,729,562.53/30,601.94
  6. Step 6: Final answer
    x = 14,728.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.