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Finding the Fourth Proportional to 31,090.35, 42,904.74 and 16,943.19

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Solution

The fourth proportional to 31,090.35, 42,904.74 and 16,943.19 is: 23,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.35 : 42,904.74 = 16,943.19 : x
  2. Step 2: Convert to fraction form
    31,090.35/42,904.74 = 16,943.19/x
  3. Step 3: Cross multiply
    31,090.35x = 42,904.74 × 16,943.19
  4. Step 4: Simplify right side
    31,090.35x = 726,943,161.72
  5. Step 5: Solve for x
    x = 726,943,161.72/31,090.35
  6. Step 6: Final answer
    x = 23,381.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.