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Finding the Fourth Proportional to 52,102.83, 71,900.97 and 29,441.34

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Solution

The fourth proportional to 52,102.83, 71,900.97 and 29,441.34 is: 40,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.83 : 71,900.97 = 29,441.34 : x
  2. Step 2: Convert to fraction form
    52,102.83/71,900.97 = 29,441.34/x
  3. Step 3: Cross multiply
    52,102.83x = 71,900.97 × 29,441.34
  4. Step 4: Simplify right side
    52,102.83x = 2,116,860,397.39
  5. Step 5: Solve for x
    x = 2,116,860,397.39/52,102.83
  6. Step 6: Final answer
    x = 40,628.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.