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Finding the Fourth Proportional to 32,950.44, 49,441.86 and 16,309.80

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Solution

The fourth proportional to 32,950.44, 49,441.86 and 16,309.80 is: 24,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.44 : 49,441.86 = 16,309.80 : x
  2. Step 2: Convert to fraction form
    32,950.44/49,441.86 = 16,309.80/x
  3. Step 3: Cross multiply
    32,950.44x = 49,441.86 × 16,309.80
  4. Step 4: Simplify right side
    32,950.44x = 806,386,848.23
  5. Step 5: Solve for x
    x = 806,386,848.23/32,950.44
  6. Step 6: Final answer
    x = 24,472.72

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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.