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Finding the Fourth Proportional to 75,221.38, 103,816.15 and 46,550.28

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Solution

The fourth proportional to 75,221.38, 103,816.15 and 46,550.28 is: 64,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,221.38 : 103,816.15 = 46,550.28 : x
  2. Step 2: Convert to fraction form
    75,221.38/103,816.15 = 46,550.28/x
  3. Step 3: Cross multiply
    75,221.38x = 103,816.15 × 46,550.28
  4. Step 4: Simplify right side
    75,221.38x = 4,832,670,274.76
  5. Step 5: Solve for x
    x = 4,832,670,274.76/75,221.38
  6. Step 6: Final answer
    x = 64,245.97

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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.