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Finding the Fourth Proportional to 103,175.40, 154,766.34 and 36,614.46

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Solution

The fourth proportional to 103,175.40, 154,766.34 and 36,614.46 is: 54,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.40 : 154,766.34 = 36,614.46 : x
  2. Step 2: Convert to fraction form
    103,175.40/154,766.34 = 36,614.46/x
  3. Step 3: Cross multiply
    103,175.40x = 154,766.34 × 36,614.46
  4. Step 4: Simplify right side
    103,175.40x = 5,666,685,965.28
  5. Step 5: Solve for x
    x = 5,666,685,965.28/103,175.40
  6. Step 6: Final answer
    x = 54,922.84

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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.