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Finding the Fourth Proportional to 29,325.40, 43,987.46 and 7,138.90

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Solution

The fourth proportional to 29,325.40, 43,987.46 and 7,138.90 is: 10,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325.40 : 43,987.46 = 7,138.90 : x
  2. Step 2: Convert to fraction form
    29,325.40/43,987.46 = 7,138.90/x
  3. Step 3: Cross multiply
    29,325.40x = 43,987.46 × 7,138.90
  4. Step 4: Simplify right side
    29,325.40x = 314,022,078.19
  5. Step 5: Solve for x
    x = 314,022,078.19/29,325.40
  6. Step 6: Final answer
    x = 10,708.19

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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.