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Finding the Fourth Proportional to 73,646.40, 110,396.70 and 36,175.80

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Solution

The fourth proportional to 73,646.40, 110,396.70 and 36,175.80 is: 54,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,646.40 : 110,396.70 = 36,175.80 : x
  2. Step 2: Convert to fraction form
    73,646.40/110,396.70 = 36,175.80/x
  3. Step 3: Cross multiply
    73,646.40x = 110,396.70 × 36,175.80
  4. Step 4: Simplify right side
    73,646.40x = 3,993,688,939.86
  5. Step 5: Solve for x
    x = 3,993,688,939.86/73,646.40
  6. Step 6: Final answer
    x = 54,227.89

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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.