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Finding the Fourth Proportional to 83,292.26, 114,942.94 and 45,051.86

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Solution

The fourth proportional to 83,292.26, 114,942.94 and 45,051.86 is: 62,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.26 : 114,942.94 = 45,051.86 : x
  2. Step 2: Convert to fraction form
    83,292.26/114,942.94 = 45,051.86/x
  3. Step 3: Cross multiply
    83,292.26x = 114,942.94 × 45,051.86
  4. Step 4: Simplify right side
    83,292.26x = 5,178,393,415.60
  5. Step 5: Solve for x
    x = 5,178,393,415.60/83,292.26
  6. Step 6: Final answer
    x = 62,171.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.