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Finding the Fourth Proportional to 31,092.46, 42,907.52 and 16,945.28

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Solution

The fourth proportional to 31,092.46, 42,907.52 and 16,945.28 is: 23,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.46 : 42,907.52 = 16,945.28 : x
  2. Step 2: Convert to fraction form
    31,092.46/42,907.52 = 16,945.28/x
  3. Step 3: Cross multiply
    31,092.46x = 42,907.52 × 16,945.28
  4. Step 4: Simplify right side
    31,092.46x = 727,079,940.51
  5. Step 5: Solve for x
    x = 727,079,940.51/31,092.46
  6. Step 6: Final answer
    x = 23,384.45

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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.