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Finding the Fourth Proportional to 67,076.48, 100,543.44 and 31,941.92

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Solution

The fourth proportional to 67,076.48, 100,543.44 and 31,941.92 is: 47,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,076.48 : 100,543.44 = 31,941.92 : x
  2. Step 2: Convert to fraction form
    67,076.48/100,543.44 = 31,941.92/x
  3. Step 3: Cross multiply
    67,076.48x = 100,543.44 × 31,941.92
  4. Step 4: Simplify right side
    67,076.48x = 3,211,550,517.00
  5. Step 5: Solve for x
    x = 3,211,550,517.00/67,076.48
  6. Step 6: Final answer
    x = 47,878.94

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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.