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Finding the Fourth Proportional to 103,418.46, 155,127.69 and 29,546.46

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Solution

The fourth proportional to 103,418.46, 155,127.69 and 29,546.46 is: 44,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,418.46 : 155,127.69 = 29,546.46 : x
  2. Step 2: Convert to fraction form
    103,418.46/155,127.69 = 29,546.46/x
  3. Step 3: Cross multiply
    103,418.46x = 155,127.69 × 29,546.46
  4. Step 4: Simplify right side
    103,418.46x = 4,583,474,087.48
  5. Step 5: Solve for x
    x = 4,583,474,087.48/103,418.46
  6. Step 6: Final answer
    x = 44,319.69

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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.