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Finding the Fourth Proportional to 29,974.40, 44,961.60 and 10,258.60

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Solution

The fourth proportional to 29,974.40, 44,961.60 and 10,258.60 is: 15,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.40 : 44,961.60 = 10,258.60 : x
  2. Step 2: Convert to fraction form
    29,974.40/44,961.60 = 10,258.60/x
  3. Step 3: Cross multiply
    29,974.40x = 44,961.60 × 10,258.60
  4. Step 4: Simplify right side
    29,974.40x = 461,243,069.76
  5. Step 5: Solve for x
    x = 461,243,069.76/29,974.40
  6. Step 6: Final answer
    x = 15,387.90

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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.