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Finding the Fourth Proportional to 41,782.38, 57,662.85 and 23,878.14

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Solution

The fourth proportional to 41,782.38, 57,662.85 and 23,878.14 is: 32,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782.38 : 57,662.85 = 23,878.14 : x
  2. Step 2: Convert to fraction form
    41,782.38/57,662.85 = 23,878.14/x
  3. Step 3: Cross multiply
    41,782.38x = 57,662.85 × 23,878.14
  4. Step 4: Simplify right side
    41,782.38x = 1,376,881,605.10
  5. Step 5: Solve for x
    x = 1,376,881,605.10/41,782.38
  6. Step 6: Final answer
    x = 32,953.64

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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.