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Finding the Fourth Proportional to 83,678.40, 125,420.40 and 33,733.80

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Solution

The fourth proportional to 83,678.40, 125,420.40 and 33,733.80 is: 50,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,678.40 : 125,420.40 = 33,733.80 : x
  2. Step 2: Convert to fraction form
    83,678.40/125,420.40 = 33,733.80/x
  3. Step 3: Cross multiply
    83,678.40x = 125,420.40 × 33,733.80
  4. Step 4: Simplify right side
    83,678.40x = 4,230,906,689.52
  5. Step 5: Solve for x
    x = 4,230,906,689.52/83,678.40
  6. Step 6: Final answer
    x = 50,561.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.