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Finding the Fourth Proportional to 27,301.50, 40,952.48 and 7,581.60

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Solution

The fourth proportional to 27,301.50, 40,952.48 and 7,581.60 is: 11,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301.50 : 40,952.48 = 7,581.60 : x
  2. Step 2: Convert to fraction form
    27,301.50/40,952.48 = 7,581.60/x
  3. Step 3: Cross multiply
    27,301.50x = 40,952.48 × 7,581.60
  4. Step 4: Simplify right side
    27,301.50x = 310,485,284.46
  5. Step 5: Solve for x
    x = 310,485,284.46/27,301.50
  6. Step 6: Final answer
    x = 11,372.46

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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.