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Finding the Fourth Proportional to 41,509.32, 57,282.76 and 22,646.44

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Solution

The fourth proportional to 41,509.32, 57,282.76 and 22,646.44 is: 31,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.32 : 57,282.76 = 22,646.44 : x
  2. Step 2: Convert to fraction form
    41,509.32/57,282.76 = 22,646.44/x
  3. Step 3: Cross multiply
    41,509.32x = 57,282.76 × 22,646.44
  4. Step 4: Simplify right side
    41,509.32x = 1,297,250,587.37
  5. Step 5: Solve for x
    x = 1,297,250,587.37/41,509.32
  6. Step 6: Final answer
    x = 31,252.03

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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.