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Finding the Fourth Proportional to 34,651.52, 51,971.88 and 11,277.80

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Solution

The fourth proportional to 34,651.52, 51,971.88 and 11,277.80 is: 16,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.52 : 51,971.88 = 11,277.80 : x
  2. Step 2: Convert to fraction form
    34,651.52/51,971.88 = 11,277.80/x
  3. Step 3: Cross multiply
    34,651.52x = 51,971.88 × 11,277.80
  4. Step 4: Simplify right side
    34,651.52x = 586,128,468.26
  5. Step 5: Solve for x
    x = 586,128,468.26/34,651.52
  6. Step 6: Final answer
    x = 16,914.94

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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.