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Finding the Fourth Proportional to 41,478, 57,239.64 and 26,574.96

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Solution

The fourth proportional to 41,478, 57,239.64 and 26,574.96 is: 36,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478 : 57,239.64 = 26,574.96 : x
  2. Step 2: Convert to fraction form
    41,478/57,239.64 = 26,574.96/x
  3. Step 3: Cross multiply
    41,478x = 57,239.64 × 26,574.96
  4. Step 4: Simplify right side
    41,478x = 1,521,141,143.41
  5. Step 5: Solve for x
    x = 1,521,141,143.41/41,478
  6. Step 6: Final answer
    x = 36,673.44

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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.