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Finding the Fourth Proportional to 75,116.80, 103,661.18 and 41,582.80

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Solution

The fourth proportional to 75,116.80, 103,661.18 and 41,582.80 is: 57,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116.80 : 103,661.18 = 41,582.80 : x
  2. Step 2: Convert to fraction form
    75,116.80/103,661.18 = 41,582.80/x
  3. Step 3: Cross multiply
    75,116.80x = 103,661.18 × 41,582.80
  4. Step 4: Simplify right side
    75,116.80x = 4,310,522,115.70
  5. Step 5: Solve for x
    x = 4,310,522,115.70/75,116.80
  6. Step 6: Final answer
    x = 57,384.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.