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Finding the Fourth Proportional to 51,779.58, 77,668.58 and 23,296.42

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Solution

The fourth proportional to 51,779.58, 77,668.58 and 23,296.42 is: 34,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779.58 : 77,668.58 = 23,296.42 : x
  2. Step 2: Convert to fraction form
    51,779.58/77,668.58 = 23,296.42/x
  3. Step 3: Cross multiply
    51,779.58x = 77,668.58 × 23,296.42
  4. Step 4: Simplify right side
    51,779.58x = 1,809,399,530.38
  5. Step 5: Solve for x
    x = 1,809,399,530.38/51,779.58
  6. Step 6: Final answer
    x = 34,944.27

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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.