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Finding the Fourth Proportional to 32,884.26, 49,329.09 and 14,164.74

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Solution

The fourth proportional to 32,884.26, 49,329.09 and 14,164.74 is: 21,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.26 : 49,329.09 = 14,164.74 : x
  2. Step 2: Convert to fraction form
    32,884.26/49,329.09 = 14,164.74/x
  3. Step 3: Cross multiply
    32,884.26x = 49,329.09 × 14,164.74
  4. Step 4: Simplify right side
    32,884.26x = 698,733,734.29
  5. Step 5: Solve for x
    x = 698,733,734.29/32,884.26
  6. Step 6: Final answer
    x = 21,248.27

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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.