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Finding the Fourth Proportional to 34,208.60, 51,307.77 and 10,832

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Solution

The fourth proportional to 34,208.60, 51,307.77 and 10,832 is: 16,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,208.60 : 51,307.77 = 10,832 : x
  2. Step 2: Convert to fraction form
    34,208.60/51,307.77 = 10,832/x
  3. Step 3: Cross multiply
    34,208.60x = 51,307.77 × 10,832
  4. Step 4: Simplify right side
    34,208.60x = 555,765,764.64
  5. Step 5: Solve for x
    x = 555,765,764.64/34,208.60
  6. Step 6: Final answer
    x = 16,246.38

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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.