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Finding the Fourth Proportional to 31,092.69, 42,907.89 and 16,945.50

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Solution

The fourth proportional to 31,092.69, 42,907.89 and 16,945.50 is: 23,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.69 : 42,907.89 = 16,945.50 : x
  2. Step 2: Convert to fraction form
    31,092.69/42,907.89 = 16,945.50/x
  3. Step 3: Cross multiply
    31,092.69x = 42,907.89 × 16,945.50
  4. Step 4: Simplify right side
    31,092.69x = 727,095,650.00
  5. Step 5: Solve for x
    x = 727,095,650.00/31,092.69
  6. Step 6: Final answer
    x = 23,384.78

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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.