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Finding the Fourth Proportional to 32,833.50, 45,310.23 and 17,929.50

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Solution

The fourth proportional to 32,833.50, 45,310.23 and 17,929.50 is: 24,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,833.50 : 45,310.23 = 17,929.50 : x
  2. Step 2: Convert to fraction form
    32,833.50/45,310.23 = 17,929.50/x
  3. Step 3: Cross multiply
    32,833.50x = 45,310.23 × 17,929.50
  4. Step 4: Simplify right side
    32,833.50x = 812,389,768.79
  5. Step 5: Solve for x
    x = 812,389,768.79/32,833.50
  6. Step 6: Final answer
    x = 24,742.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.