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Finding the Fourth Proportional to 33,131.76, 49,695.84 and 9,758.40

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Solution

The fourth proportional to 33,131.76, 49,695.84 and 9,758.40 is: 14,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.76 : 49,695.84 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    33,131.76/49,695.84 = 9,758.40/x
  3. Step 3: Cross multiply
    33,131.76x = 49,695.84 × 9,758.40
  4. Step 4: Simplify right side
    33,131.76x = 484,951,885.06
  5. Step 5: Solve for x
    x = 484,951,885.06/33,131.76
  6. Step 6: Final answer
    x = 14,637.07

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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.