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Finding the Fourth Proportional to 41,778, 57,653.64 and 22,915.17

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Solution

The fourth proportional to 41,778, 57,653.64 and 22,915.17 is: 31,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,778 : 57,653.64 = 22,915.17 : x
  2. Step 2: Convert to fraction form
    41,778/57,653.64 = 22,915.17/x
  3. Step 3: Cross multiply
    41,778x = 57,653.64 × 22,915.17
  4. Step 4: Simplify right side
    41,778x = 1,321,142,961.72
  5. Step 5: Solve for x
    x = 1,321,142,961.72/41,778
  6. Step 6: Final answer
    x = 31,622.93

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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.