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Finding the Fourth Proportional to 32,731.96, 49,078.23 and 14,716.87

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Solution

The fourth proportional to 32,731.96, 49,078.23 and 14,716.87 is: 22,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.96 : 49,078.23 = 14,716.87 : x
  2. Step 2: Convert to fraction form
    32,731.96/49,078.23 = 14,716.87/x
  3. Step 3: Cross multiply
    32,731.96x = 49,078.23 × 14,716.87
  4. Step 4: Simplify right side
    32,731.96x = 722,277,930.74
  5. Step 5: Solve for x
    x = 722,277,930.74/32,731.96
  6. Step 6: Final answer
    x = 22,066.44

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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.