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Finding the Fourth Proportional to 27,039.10, 40,478.77 and 19,972.19

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Solution

The fourth proportional to 27,039.10, 40,478.77 and 19,972.19 is: 29,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039.10 : 40,478.77 = 19,972.19 : x
  2. Step 2: Convert to fraction form
    27,039.10/40,478.77 = 19,972.19/x
  3. Step 3: Cross multiply
    27,039.10x = 40,478.77 × 19,972.19
  4. Step 4: Simplify right side
    27,039.10x = 808,449,685.41
  5. Step 5: Solve for x
    x = 808,449,685.41/27,039.10
  6. Step 6: Final answer
    x = 29,899.28

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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.