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Finding the Fourth Proportional to 75,114.75, 103,664.84 and 41,587.23

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Solution

The fourth proportional to 75,114.75, 103,664.84 and 41,587.23 is: 57,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.75 : 103,664.84 = 41,587.23 : x
  2. Step 2: Convert to fraction form
    75,114.75/103,664.84 = 41,587.23/x
  3. Step 3: Cross multiply
    75,114.75x = 103,664.84 × 41,587.23
  4. Step 4: Simplify right side
    75,114.75x = 4,311,133,336.06
  5. Step 5: Solve for x
    x = 4,311,133,336.06/75,114.75
  6. Step 6: Final answer
    x = 57,393.97

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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.