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Finding the Fourth Proportional to 32,714.26, 49,034.61 and 16,658.75

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Solution

The fourth proportional to 32,714.26, 49,034.61 and 16,658.75 is: 24,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.26 : 49,034.61 = 16,658.75 : x
  2. Step 2: Convert to fraction form
    32,714.26/49,034.61 = 16,658.75/x
  3. Step 3: Cross multiply
    32,714.26x = 49,034.61 × 16,658.75
  4. Step 4: Simplify right side
    32,714.26x = 816,855,156.10
  5. Step 5: Solve for x
    x = 816,855,156.10/32,714.26
  6. Step 6: Final answer
    x = 24,969.39

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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.