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Finding the Fourth Proportional to 32,966, 49,447.44 and 10,776.56

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Solution

The fourth proportional to 32,966, 49,447.44 and 10,776.56 is: 16,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 49,447.44 = 10,776.56 : x
  2. Step 2: Convert to fraction form
    32,966/49,447.44 = 10,776.56/x
  3. Step 3: Cross multiply
    32,966x = 49,447.44 × 10,776.56
  4. Step 4: Simplify right side
    32,966x = 532,873,304.01
  5. Step 5: Solve for x
    x = 532,873,304.01/32,966
  6. Step 6: Final answer
    x = 16,164.33

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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.