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Finding the Fourth Proportional to 27,309.30, 40,977.33 and 9,780.48

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Solution

The fourth proportional to 27,309.30, 40,977.33 and 9,780.48 is: 14,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.30 : 40,977.33 = 9,780.48 : x
  2. Step 2: Convert to fraction form
    27,309.30/40,977.33 = 9,780.48/x
  3. Step 3: Cross multiply
    27,309.30x = 40,977.33 × 9,780.48
  4. Step 4: Simplify right side
    27,309.30x = 400,777,956.52
  5. Step 5: Solve for x
    x = 400,777,956.52/27,309.30
  6. Step 6: Final answer
    x = 14,675.51

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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.