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Finding the Fourth Proportional to 41,522.94, 57,186 and 38,854.80

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Solution

The fourth proportional to 41,522.94, 57,186 and 38,854.80 is: 53,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,522.94 : 57,186 = 38,854.80 : x
  2. Step 2: Convert to fraction form
    41,522.94/57,186 = 38,854.80/x
  3. Step 3: Cross multiply
    41,522.94x = 57,186 × 38,854.80
  4. Step 4: Simplify right side
    41,522.94x = 2,221,950,592.80
  5. Step 5: Solve for x
    x = 2,221,950,592.80/41,522.94
  6. Step 6: Final answer
    x = 53,511.40

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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.