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Finding the Fourth Proportional to 32,833.90, 49,266.22 and 16,184.84

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Solution

The fourth proportional to 32,833.90, 49,266.22 and 16,184.84 is: 24,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.90 : 49,266.22 = 16,184.84 : x
  2. Step 2: Convert to fraction form
    32,833.90/49,266.22 = 16,184.84/x
  3. Step 3: Cross multiply
    32,833.90x = 49,266.22 × 16,184.84
  4. Step 4: Simplify right side
    32,833.90x = 797,365,888.10
  5. Step 5: Solve for x
    x = 797,365,888.10/32,833.90
  6. Step 6: Final answer
    x = 24,284.84

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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.