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Finding the Fourth Proportional to 103,475.92, 155,213.82 and 27,574.49

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Solution

The fourth proportional to 103,475.92, 155,213.82 and 27,574.49 is: 41,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,475.92 : 155,213.82 = 27,574.49 : x
  2. Step 2: Convert to fraction form
    103,475.92/155,213.82 = 27,574.49/x
  3. Step 3: Cross multiply
    103,475.92x = 155,213.82 × 27,574.49
  4. Step 4: Simplify right side
    103,475.92x = 4,279,941,927.45
  5. Step 5: Solve for x
    x = 4,279,941,927.45/103,475.92
  6. Step 6: Final answer
    x = 41,361.72

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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.