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Finding the Fourth Proportional to 51,230.20, 76,848.90 and 29,054.20

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Solution

The fourth proportional to 51,230.20, 76,848.90 and 29,054.20 is: 43,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230.20 : 76,848.90 = 29,054.20 : x
  2. Step 2: Convert to fraction form
    51,230.20/76,848.90 = 29,054.20/x
  3. Step 3: Cross multiply
    51,230.20x = 76,848.90 × 29,054.20
  4. Step 4: Simplify right side
    51,230.20x = 2,232,783,310.38
  5. Step 5: Solve for x
    x = 2,232,783,310.38/51,230.20
  6. Step 6: Final answer
    x = 43,583.34

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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.