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Finding the Fourth Proportional to 32,849.56, 49,275.12 and 10,663

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Solution

The fourth proportional to 32,849.56, 49,275.12 and 10,663 is: 15,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849.56 : 49,275.12 = 10,663 : x
  2. Step 2: Convert to fraction form
    32,849.56/49,275.12 = 10,663/x
  3. Step 3: Cross multiply
    32,849.56x = 49,275.12 × 10,663
  4. Step 4: Simplify right side
    32,849.56x = 525,420,604.56
  5. Step 5: Solve for x
    x = 525,420,604.56/32,849.56
  6. Step 6: Final answer
    x = 15,994.75

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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.