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Finding the Fourth Proportional to 75,478.81, 113,211.25 and 25,553.20

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Solution

The fourth proportional to 75,478.81, 113,211.25 and 25,553.20 is: 38,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478.81 : 113,211.25 = 25,553.20 : x
  2. Step 2: Convert to fraction form
    75,478.81/113,211.25 = 25,553.20/x
  3. Step 3: Cross multiply
    75,478.81x = 113,211.25 × 25,553.20
  4. Step 4: Simplify right side
    75,478.81x = 2,892,909,713.50
  5. Step 5: Solve for x
    x = 2,892,909,713.50/75,478.81
  6. Step 6: Final answer
    x = 38,327.44

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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.