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Finding the Fourth Proportional to 76,791.69, 115,187.50 and 24,205.27

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Solution

The fourth proportional to 76,791.69, 115,187.50 and 24,205.27 is: 36,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.69 : 115,187.50 = 24,205.27 : x
  2. Step 2: Convert to fraction form
    76,791.69/115,187.50 = 24,205.27/x
  3. Step 3: Cross multiply
    76,791.69x = 115,187.50 × 24,205.27
  4. Step 4: Simplify right side
    76,791.69x = 2,788,144,538.13
  5. Step 5: Solve for x
    x = 2,788,144,538.13/76,791.69
  6. Step 6: Final answer
    x = 36,307.89

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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.