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Finding the Fourth Proportional to 27,378.54, 37,748.16 and 22,847.75

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Solution

The fourth proportional to 27,378.54, 37,748.16 and 22,847.75 is: 31,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.54 : 37,748.16 = 22,847.75 : x
  2. Step 2: Convert to fraction form
    27,378.54/37,748.16 = 22,847.75/x
  3. Step 3: Cross multiply
    27,378.54x = 37,748.16 × 22,847.75
  4. Step 4: Simplify right side
    27,378.54x = 862,460,617.01
  5. Step 5: Solve for x
    x = 862,460,617.01/27,378.54
  6. Step 6: Final answer
    x = 31,501.33

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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.