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Finding the Fourth Proportional to 41,241, 61,872.06 and 13,539.24

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Solution

The fourth proportional to 41,241, 61,872.06 and 13,539.24 is: 20,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,241 : 61,872.06 = 13,539.24 : x
  2. Step 2: Convert to fraction form
    41,241/61,872.06 = 13,539.24/x
  3. Step 3: Cross multiply
    41,241x = 61,872.06 × 13,539.24
  4. Step 4: Simplify right side
    41,241x = 837,700,669.63
  5. Step 5: Solve for x
    x = 837,700,669.63/41,241
  6. Step 6: Final answer
    x = 20,312.33

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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.