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Finding the Fourth Proportional to 26,845.38, 37,050 and 16,235.07

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Solution

The fourth proportional to 26,845.38, 37,050 and 16,235.07 is: 22,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,845.38 : 37,050 = 16,235.07 : x
  2. Step 2: Convert to fraction form
    26,845.38/37,050 = 16,235.07/x
  3. Step 3: Cross multiply
    26,845.38x = 37,050 × 16,235.07
  4. Step 4: Simplify right side
    26,845.38x = 601,509,343.50
  5. Step 5: Solve for x
    x = 601,509,343.50/26,845.38
  6. Step 6: Final answer
    x = 22,406.44

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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.