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Finding the Fourth Proportional to 29,731.10, 44,603.20 and 10,009

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Solution

The fourth proportional to 29,731.10, 44,603.20 and 10,009 is: 15,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.10 : 44,603.20 = 10,009 : x
  2. Step 2: Convert to fraction form
    29,731.10/44,603.20 = 10,009/x
  3. Step 3: Cross multiply
    29,731.10x = 44,603.20 × 10,009
  4. Step 4: Simplify right side
    29,731.10x = 446,433,428.80
  5. Step 5: Solve for x
    x = 446,433,428.80/29,731.10
  6. Step 6: Final answer
    x = 15,015.71

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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.