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Finding the Fourth Proportional to 105,766.60, 158,657.10 and 33,713.80

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Solution

The fourth proportional to 105,766.60, 158,657.10 and 33,713.80 is: 50,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,766.60 : 158,657.10 = 33,713.80 : x
  2. Step 2: Convert to fraction form
    105,766.60/158,657.10 = 33,713.80/x
  3. Step 3: Cross multiply
    105,766.60x = 158,657.10 × 33,713.80
  4. Step 4: Simplify right side
    105,766.60x = 5,348,933,737.98
  5. Step 5: Solve for x
    x = 5,348,933,737.98/105,766.60
  6. Step 6: Final answer
    x = 50,573.00

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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.