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Finding the Fourth Proportional to 41,334.56, 61,956.56 and 17,916

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Solution

The fourth proportional to 41,334.56, 61,956.56 and 17,916 is: 26,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,334.56 : 61,956.56 = 17,916 : x
  2. Step 2: Convert to fraction form
    41,334.56/61,956.56 = 17,916/x
  3. Step 3: Cross multiply
    41,334.56x = 61,956.56 × 17,916
  4. Step 4: Simplify right side
    41,334.56x = 1,110,013,728.96
  5. Step 5: Solve for x
    x = 1,110,013,728.96/41,334.56
  6. Step 6: Final answer
    x = 26,854.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.