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Finding the Fourth Proportional to 70,408.73, 105,602.05 and 23,023.49

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Solution

The fourth proportional to 70,408.73, 105,602.05 and 23,023.49 is: 34,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,408.73 : 105,602.05 = 23,023.49 : x
  2. Step 2: Convert to fraction form
    70,408.73/105,602.05 = 23,023.49/x
  3. Step 3: Cross multiply
    70,408.73x = 105,602.05 × 23,023.49
  4. Step 4: Simplify right side
    70,408.73x = 2,431,327,742.15
  5. Step 5: Solve for x
    x = 2,431,327,742.15/70,408.73
  6. Step 6: Final answer
    x = 34,531.62

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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.