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Finding the Fourth Proportional to 31,075.71, 42,884.42 and 16,928.52

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Solution

The fourth proportional to 31,075.71, 42,884.42 and 16,928.52 is: 23,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.71 : 42,884.42 = 16,928.52 : x
  2. Step 2: Convert to fraction form
    31,075.71/42,884.42 = 16,928.52/x
  3. Step 3: Cross multiply
    31,075.71x = 42,884.42 × 16,928.52
  4. Step 4: Simplify right side
    31,075.71x = 725,969,677.02
  5. Step 5: Solve for x
    x = 725,969,677.02/31,075.71
  6. Step 6: Final answer
    x = 23,361.32

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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.