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Finding the Fourth Proportional to 75,664.58, 104,416.14 and 41,672.42

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Solution

The fourth proportional to 75,664.58, 104,416.14 and 41,672.42 is: 57,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664.58 : 104,416.14 = 41,672.42 : x
  2. Step 2: Convert to fraction form
    75,664.58/104,416.14 = 41,672.42/x
  3. Step 3: Cross multiply
    75,664.58x = 104,416.14 × 41,672.42
  4. Step 4: Simplify right side
    75,664.58x = 4,351,273,240.86
  5. Step 5: Solve for x
    x = 4,351,273,240.86/75,664.58
  6. Step 6: Final answer
    x = 57,507.40

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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.