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Finding the Fourth Proportional to 32,956.78, 49,441.53 and 10,764.19

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Solution

The fourth proportional to 32,956.78, 49,441.53 and 10,764.19 is: 16,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.78 : 49,441.53 = 10,764.19 : x
  2. Step 2: Convert to fraction form
    32,956.78/49,441.53 = 10,764.19/x
  3. Step 3: Cross multiply
    32,956.78x = 49,441.53 × 10,764.19
  4. Step 4: Simplify right side
    32,956.78x = 532,198,022.81
  5. Step 5: Solve for x
    x = 532,198,022.81/32,956.78
  6. Step 6: Final answer
    x = 16,148.36

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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.