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Finding the Fourth Proportional to 55,672.26, 76,826.13 and 31,798.44

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Solution

The fourth proportional to 55,672.26, 76,826.13 and 31,798.44 is: 43,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672.26 : 76,826.13 = 31,798.44 : x
  2. Step 2: Convert to fraction form
    55,672.26/76,826.13 = 31,798.44/x
  3. Step 3: Cross multiply
    55,672.26x = 76,826.13 × 31,798.44
  4. Step 4: Simplify right side
    55,672.26x = 2,442,951,085.24
  5. Step 5: Solve for x
    x = 2,442,951,085.24/55,672.26
  6. Step 6: Final answer
    x = 43,880.94

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1.5x scale

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.