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Finding the Fourth Proportional to 32,781.75, 49,172.76 and 12,005.25

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Solution

The fourth proportional to 32,781.75, 49,172.76 and 12,005.25 is: 18,007.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.75 : 49,172.76 = 12,005.25 : x
  2. Step 2: Convert to fraction form
    32,781.75/49,172.76 = 12,005.25/x
  3. Step 3: Cross multiply
    32,781.75x = 49,172.76 × 12,005.25
  4. Step 4: Simplify right side
    32,781.75x = 590,331,276.99
  5. Step 5: Solve for x
    x = 590,331,276.99/32,781.75
  6. Step 6: Final answer
    x = 18,007.92

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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.