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Finding the Fourth Proportional to 29,779.94, 44,668.47 and 11,310.50

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Solution

The fourth proportional to 29,779.94, 44,668.47 and 11,310.50 is: 16,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779.94 : 44,668.47 = 11,310.50 : x
  2. Step 2: Convert to fraction form
    29,779.94/44,668.47 = 11,310.50/x
  3. Step 3: Cross multiply
    29,779.94x = 44,668.47 × 11,310.50
  4. Step 4: Simplify right side
    29,779.94x = 505,222,729.94
  5. Step 5: Solve for x
    x = 505,222,729.94/29,779.94
  6. Step 6: Final answer
    x = 16,965.20

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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.