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Finding the Fourth Proportional to 41,878.88, 57,792.85 and 23,016

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Solution

The fourth proportional to 41,878.88, 57,792.85 and 23,016 is: 31,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,878.88 : 57,792.85 = 23,016 : x
  2. Step 2: Convert to fraction form
    41,878.88/57,792.85 = 23,016/x
  3. Step 3: Cross multiply
    41,878.88x = 57,792.85 × 23,016
  4. Step 4: Simplify right side
    41,878.88x = 1,330,160,178.06
  5. Step 5: Solve for x
    x = 1,330,160,178.06/41,878.88
  6. Step 6: Final answer
    x = 31,762.08

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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.