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Finding the Fourth Proportional to 32,227.44, 44,391 and 22,779.76

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Solution

The fourth proportional to 32,227.44, 44,391 and 22,779.76 is: 31,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.44 : 44,391 = 22,779.76 : x
  2. Step 2: Convert to fraction form
    32,227.44/44,391 = 22,779.76/x
  3. Step 3: Cross multiply
    32,227.44x = 44,391 × 22,779.76
  4. Step 4: Simplify right side
    32,227.44x = 1,011,216,326.16
  5. Step 5: Solve for x
    x = 1,011,216,326.16/32,227.44
  6. Step 6: Final answer
    x = 31,377.49

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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.