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Finding the Fourth Proportional to 31,767.29, 47,645.15 and 12,039.33

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Solution

The fourth proportional to 31,767.29, 47,645.15 and 12,039.33 is: 18,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.29 : 47,645.15 = 12,039.33 : x
  2. Step 2: Convert to fraction form
    31,767.29/47,645.15 = 12,039.33/x
  3. Step 3: Cross multiply
    31,767.29x = 47,645.15 × 12,039.33
  4. Step 4: Simplify right side
    31,767.29x = 573,615,623.55
  5. Step 5: Solve for x
    x = 573,615,623.55/31,767.29
  6. Step 6: Final answer
    x = 18,056.80

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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.