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Finding the Fourth Proportional to 50,553.64, 75,821.82 and 13,609

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Solution

The fourth proportional to 50,553.64, 75,821.82 and 13,609 is: 20,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,553.64 : 75,821.82 = 13,609 : x
  2. Step 2: Convert to fraction form
    50,553.64/75,821.82 = 13,609/x
  3. Step 3: Cross multiply
    50,553.64x = 75,821.82 × 13,609
  4. Step 4: Simplify right side
    50,553.64x = 1,031,859,148.38
  5. Step 5: Solve for x
    x = 1,031,859,148.38/50,553.64
  6. Step 6: Final answer
    x = 20,411.17

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