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Finding the Fourth Proportional to 31,114.71, 42,938.24 and 16,967.52

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Solution

The fourth proportional to 31,114.71, 42,938.24 and 16,967.52 is: 23,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.71 : 42,938.24 = 16,967.52 : x
  2. Step 2: Convert to fraction form
    31,114.71/42,938.24 = 16,967.52/x
  3. Step 3: Cross multiply
    31,114.71x = 42,938.24 × 16,967.52
  4. Step 4: Simplify right side
    31,114.71x = 728,555,361.13
  5. Step 5: Solve for x
    x = 728,555,361.13/31,114.71
  6. Step 6: Final answer
    x = 23,415.14

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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.