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Finding the Fourth Proportional to 75,408.82, 113,094.53 and 25,487.81

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Solution

The fourth proportional to 75,408.82, 113,094.53 and 25,487.81 is: 38,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408.82 : 113,094.53 = 25,487.81 : x
  2. Step 2: Convert to fraction form
    75,408.82/113,094.53 = 25,487.81/x
  3. Step 3: Cross multiply
    75,408.82x = 113,094.53 × 25,487.81
  4. Step 4: Simplify right side
    75,408.82x = 2,882,531,327.21
  5. Step 5: Solve for x
    x = 2,882,531,327.21/75,408.82
  6. Step 6: Final answer
    x = 38,225.39

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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.