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Finding the Fourth Proportional to 31,052.32, 42,850.79 and 16,905.13

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Solution

The fourth proportional to 31,052.32, 42,850.79 and 16,905.13 is: 23,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.32 : 42,850.79 = 16,905.13 : x
  2. Step 2: Convert to fraction form
    31,052.32/42,850.79 = 16,905.13/x
  3. Step 3: Cross multiply
    31,052.32x = 42,850.79 × 16,905.13
  4. Step 4: Simplify right side
    31,052.32x = 724,398,091.03
  5. Step 5: Solve for x
    x = 724,398,091.03/31,052.32
  6. Step 6: Final answer
    x = 23,328.31

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Why These Related Problems?

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