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Finding the Fourth Proportional to 105,770.60, 158,663.10 and 33,717.80

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Solution

The fourth proportional to 105,770.60, 158,663.10 and 33,717.80 is: 50,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,770.60 : 158,663.10 = 33,717.80 : x
  2. Step 2: Convert to fraction form
    105,770.60/158,663.10 = 33,717.80/x
  3. Step 3: Cross multiply
    105,770.60x = 158,663.10 × 33,717.80
  4. Step 4: Simplify right side
    105,770.60x = 5,349,770,673.18
  5. Step 5: Solve for x
    x = 5,349,770,673.18/105,770.60
  6. Step 6: Final answer
    x = 50,579.00

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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.