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Finding the Fourth Proportional to 33,130.17, 49,695.62 and 9,757.05

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Solution

The fourth proportional to 33,130.17, 49,695.62 and 9,757.05 is: 14,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.17 : 49,695.62 = 9,757.05 : x
  2. Step 2: Convert to fraction form
    33,130.17/49,695.62 = 9,757.05/x
  3. Step 3: Cross multiply
    33,130.17x = 49,695.62 × 9,757.05
  4. Step 4: Simplify right side
    33,130.17x = 484,882,600.34
  5. Step 5: Solve for x
    x = 484,882,600.34/33,130.17
  6. Step 6: Final answer
    x = 14,635.68

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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.