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Finding the Fourth Proportional to 77,884.59, 116,930.44 and 52,668.82

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Solution

The fourth proportional to 77,884.59, 116,930.44 and 52,668.82 is: 79,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,884.59 : 116,930.44 = 52,668.82 : x
  2. Step 2: Convert to fraction form
    77,884.59/116,930.44 = 52,668.82/x
  3. Step 3: Cross multiply
    77,884.59x = 116,930.44 × 52,668.82
  4. Step 4: Simplify right side
    77,884.59x = 6,158,588,296.88
  5. Step 5: Solve for x
    x = 6,158,588,296.88/77,884.59
  6. Step 6: Final answer
    x = 79,073.26

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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.