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Finding the Fourth Proportional to 76,683, 115,042.96 and 24,092.47

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Solution

The fourth proportional to 76,683, 115,042.96 and 24,092.47 is: 36,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683 : 115,042.96 = 24,092.47 : x
  2. Step 2: Convert to fraction form
    76,683/115,042.96 = 24,092.47/x
  3. Step 3: Cross multiply
    76,683x = 115,042.96 × 24,092.47
  4. Step 4: Simplify right side
    76,683x = 2,771,668,487.30
  5. Step 5: Solve for x
    x = 2,771,668,487.30/76,683
  6. Step 6: Final answer
    x = 36,144.50

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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.