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Finding the Fourth Proportional to 49,506.53, 74,258.57 and 14,446.49

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Solution

The fourth proportional to 49,506.53, 74,258.57 and 14,446.49 is: 21,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506.53 : 74,258.57 = 14,446.49 : x
  2. Step 2: Convert to fraction form
    49,506.53/74,258.57 = 14,446.49/x
  3. Step 3: Cross multiply
    49,506.53x = 74,258.57 × 14,446.49
  4. Step 4: Simplify right side
    49,506.53x = 1,072,775,431.04
  5. Step 5: Solve for x
    x = 1,072,775,431.04/49,506.53
  6. Step 6: Final answer
    x = 21,669.37

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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.