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Finding the Fourth Proportional to 103,651.64, 155,487.18 and 41,327

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Solution

The fourth proportional to 103,651.64, 155,487.18 and 41,327 is: 61,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651.64 : 155,487.18 = 41,327 : x
  2. Step 2: Convert to fraction form
    103,651.64/155,487.18 = 41,327/x
  3. Step 3: Cross multiply
    103,651.64x = 155,487.18 × 41,327
  4. Step 4: Simplify right side
    103,651.64x = 6,425,818,687.86
  5. Step 5: Solve for x
    x = 6,425,818,687.86/103,651.64
  6. Step 6: Final answer
    x = 61,994.38

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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.