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Finding the Fourth Proportional to 34,431.50, 51,642.39 and 11,054.90

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Solution

The fourth proportional to 34,431.50, 51,642.39 and 11,054.90 is: 16,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431.50 : 51,642.39 = 11,054.90 : x
  2. Step 2: Convert to fraction form
    34,431.50/51,642.39 = 11,054.90/x
  3. Step 3: Cross multiply
    34,431.50x = 51,642.39 × 11,054.90
  4. Step 4: Simplify right side
    34,431.50x = 570,901,627.77
  5. Step 5: Solve for x
    x = 570,901,627.77/34,431.50
  6. Step 6: Final answer
    x = 16,580.79

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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.