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Finding the Fourth Proportional to 35,596.64, 49,077.72 and 22,826.61

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Solution

The fourth proportional to 35,596.64, 49,077.72 and 22,826.61 is: 31,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,596.64 : 49,077.72 = 22,826.61 : x
  2. Step 2: Convert to fraction form
    35,596.64/49,077.72 = 22,826.61/x
  3. Step 3: Cross multiply
    35,596.64x = 49,077.72 × 22,826.61
  4. Step 4: Simplify right side
    35,596.64x = 1,120,277,974.13
  5. Step 5: Solve for x
    x = 1,120,277,974.13/35,596.64
  6. Step 6: Final answer
    x = 31,471.45

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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.