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Finding the Fourth Proportional to 41,783.82, 57,662.58 and 22,920.93

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Solution

The fourth proportional to 41,783.82, 57,662.58 and 22,920.93 is: 31,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.82 : 57,662.58 = 22,920.93 : x
  2. Step 2: Convert to fraction form
    41,783.82/57,662.58 = 22,920.93/x
  3. Step 3: Cross multiply
    41,783.82x = 57,662.58 × 22,920.93
  4. Step 4: Simplify right side
    41,783.82x = 1,321,679,959.80
  5. Step 5: Solve for x
    x = 1,321,679,959.80/41,783.82
  6. Step 6: Final answer
    x = 31,631.38

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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.