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Finding the Fourth Proportional to 30,600.41, 45,896.29 and 9,821.21

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Solution

The fourth proportional to 30,600.41, 45,896.29 and 9,821.21 is: 14,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600.41 : 45,896.29 = 9,821.21 : x
  2. Step 2: Convert to fraction form
    30,600.41/45,896.29 = 9,821.21/x
  3. Step 3: Cross multiply
    30,600.41x = 45,896.29 × 9,821.21
  4. Step 4: Simplify right side
    30,600.41x = 450,756,848.28
  5. Step 5: Solve for x
    x = 450,756,848.28/30,600.41
  6. Step 6: Final answer
    x = 14,730.42

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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.