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Finding the Fourth Proportional to 32,832.84, 49,251 and 10,643.28

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Solution

The fourth proportional to 32,832.84, 49,251 and 10,643.28 is: 15,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.84 : 49,251 = 10,643.28 : x
  2. Step 2: Convert to fraction form
    32,832.84/49,251 = 10,643.28/x
  3. Step 3: Cross multiply
    32,832.84x = 49,251 × 10,643.28
  4. Step 4: Simplify right side
    32,832.84x = 524,192,183.28
  5. Step 5: Solve for x
    x = 524,192,183.28/32,832.84
  6. Step 6: Final answer
    x = 15,965.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.