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Finding the Fourth Proportional to 31,052.36, 42,852.44 and 16,905.17

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Solution

The fourth proportional to 31,052.36, 42,852.44 and 16,905.17 is: 23,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.36 : 42,852.44 = 16,905.17 : x
  2. Step 2: Convert to fraction form
    31,052.36/42,852.44 = 16,905.17/x
  3. Step 3: Cross multiply
    31,052.36x = 42,852.44 × 16,905.17
  4. Step 4: Simplify right side
    31,052.36x = 724,427,698.59
  5. Step 5: Solve for x
    x = 724,427,698.59/31,052.36
  6. Step 6: Final answer
    x = 23,329.23

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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.