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Finding the Fourth Proportional to 29,729.10, 44,600.20 and 10,007

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Solution

The fourth proportional to 29,729.10, 44,600.20 and 10,007 is: 15,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.10 : 44,600.20 = 10,007 : x
  2. Step 2: Convert to fraction form
    29,729.10/44,600.20 = 10,007/x
  3. Step 3: Cross multiply
    29,729.10x = 44,600.20 × 10,007
  4. Step 4: Simplify right side
    29,729.10x = 446,314,201.40
  5. Step 5: Solve for x
    x = 446,314,201.40/29,729.10
  6. Step 6: Final answer
    x = 15,012.70

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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.