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Finding the Fourth Proportional to 30,135.29, 41,582.84 and 16,706.42

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Solution

The fourth proportional to 30,135.29, 41,582.84 and 16,706.42 is: 23,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.29 : 41,582.84 = 16,706.42 : x
  2. Step 2: Convert to fraction form
    30,135.29/41,582.84 = 16,706.42/x
  3. Step 3: Cross multiply
    30,135.29x = 41,582.84 × 16,706.42
  4. Step 4: Simplify right side
    30,135.29x = 694,700,098.39
  5. Step 5: Solve for x
    x = 694,700,098.39/30,135.29
  6. Step 6: Final answer
    x = 23,052.71

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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.