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Finding the Fourth Proportional to 70,534.85, 105,808.43 and 23,135.73

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Solution

The fourth proportional to 70,534.85, 105,808.43 and 23,135.73 is: 34,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.85 : 105,808.43 = 23,135.73 : x
  2. Step 2: Convert to fraction form
    70,534.85/105,808.43 = 23,135.73/x
  3. Step 3: Cross multiply
    70,534.85x = 105,808.43 × 23,135.73
  4. Step 4: Simplify right side
    70,534.85x = 2,447,954,799.12
  5. Step 5: Solve for x
    x = 2,447,954,799.12/70,534.85
  6. Step 6: Final answer
    x = 34,705.61

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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.