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Finding the Fourth Proportional to 31,047.44, 42,845.47 and 16,900.38

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Solution

The fourth proportional to 31,047.44, 42,845.47 and 16,900.38 is: 23,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.44 : 42,845.47 = 16,900.38 : x
  2. Step 2: Convert to fraction form
    31,047.44/42,845.47 = 16,900.38/x
  3. Step 3: Cross multiply
    31,047.44x = 42,845.47 × 16,900.38
  4. Step 4: Simplify right side
    31,047.44x = 724,104,724.28
  5. Step 5: Solve for x
    x = 724,104,724.28/31,047.44
  6. Step 6: Final answer
    x = 23,322.53

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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.