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Finding the Fourth Proportional to 31,118.63, 42,943.73 and 16,971.57

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Solution

The fourth proportional to 31,118.63, 42,943.73 and 16,971.57 is: 23,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.63 : 42,943.73 = 16,971.57 : x
  2. Step 2: Convert to fraction form
    31,118.63/42,943.73 = 16,971.57/x
  3. Step 3: Cross multiply
    31,118.63x = 42,943.73 × 16,971.57
  4. Step 4: Simplify right side
    31,118.63x = 728,822,434.90
  5. Step 5: Solve for x
    x = 728,822,434.90/31,118.63
  6. Step 6: Final answer
    x = 23,420.78

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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.