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Finding the Fourth Proportional to 75,770.68, 113,651.89 and 23,180.16

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Solution

The fourth proportional to 75,770.68, 113,651.89 and 23,180.16 is: 34,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.68 : 113,651.89 = 23,180.16 : x
  2. Step 2: Convert to fraction form
    75,770.68/113,651.89 = 23,180.16/x
  3. Step 3: Cross multiply
    75,770.68x = 113,651.89 × 23,180.16
  4. Step 4: Simplify right side
    75,770.68x = 2,634,468,994.50
  5. Step 5: Solve for x
    x = 2,634,468,994.50/75,770.68
  6. Step 6: Final answer
    x = 34,768.98

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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.