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Finding the Fourth Proportional to 32,891.65, 49,329.37 and 9,513.43

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Solution

The fourth proportional to 32,891.65, 49,329.37 and 9,513.43 is: 14,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.65 : 49,329.37 = 9,513.43 : x
  2. Step 2: Convert to fraction form
    32,891.65/49,329.37 = 9,513.43/x
  3. Step 3: Cross multiply
    32,891.65x = 49,329.37 × 9,513.43
  4. Step 4: Simplify right side
    32,891.65x = 469,291,508.44
  5. Step 5: Solve for x
    x = 469,291,508.44/32,891.65
  6. Step 6: Final answer
    x = 14,267.80

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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.