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Finding the Fourth Proportional to 41,894.56, 62,851.02 and 13,813.48

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Solution

The fourth proportional to 41,894.56, 62,851.02 and 13,813.48 is: 20,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.56 : 62,851.02 = 13,813.48 : x
  2. Step 2: Convert to fraction form
    41,894.56/62,851.02 = 13,813.48/x
  3. Step 3: Cross multiply
    41,894.56x = 62,851.02 × 13,813.48
  4. Step 4: Simplify right side
    41,894.56x = 868,191,307.75
  5. Step 5: Solve for x
    x = 868,191,307.75/41,894.56
  6. Step 6: Final answer
    x = 20,723.25

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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.