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Finding the Fourth Proportional to 32,950.84, 49,434.10 and 10,764.24

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Solution

The fourth proportional to 32,950.84, 49,434.10 and 10,764.24 is: 16,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.84 : 49,434.10 = 10,764.24 : x
  2. Step 2: Convert to fraction form
    32,950.84/49,434.10 = 10,764.24/x
  3. Step 3: Cross multiply
    32,950.84x = 49,434.10 × 10,764.24
  4. Step 4: Simplify right side
    32,950.84x = 532,120,516.58
  5. Step 5: Solve for x
    x = 532,120,516.58/32,950.84
  6. Step 6: Final answer
    x = 16,148.92

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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.