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Finding the Fourth Proportional to 41,920.38, 57,848.94 and 23,057.51

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Solution

The fourth proportional to 41,920.38, 57,848.94 and 23,057.51 is: 31,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.38 : 57,848.94 = 23,057.51 : x
  2. Step 2: Convert to fraction form
    41,920.38/57,848.94 = 23,057.51/x
  3. Step 3: Cross multiply
    41,920.38x = 57,848.94 × 23,057.51
  4. Step 4: Simplify right side
    41,920.38x = 1,333,852,223.29
  5. Step 5: Solve for x
    x = 1,333,852,223.29/41,920.38
  6. Step 6: Final answer
    x = 31,818.71

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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.