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Finding the Fourth Proportional to 53,563.44, 73,916.28 and 31,206

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Solution

The fourth proportional to 53,563.44, 73,916.28 and 31,206 is: 43,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,563.44 : 73,916.28 = 31,206 : x
  2. Step 2: Convert to fraction form
    53,563.44/73,916.28 = 31,206/x
  3. Step 3: Cross multiply
    53,563.44x = 73,916.28 × 31,206
  4. Step 4: Simplify right side
    53,563.44x = 2,306,631,433.68
  5. Step 5: Solve for x
    x = 2,306,631,433.68/53,563.44
  6. Step 6: Final answer
    x = 43,063.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.