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Finding the Fourth Proportional to 35,418, 53,200.82 and 29,882.19

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Solution

The fourth proportional to 35,418, 53,200.82 and 29,882.19 is: 44,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,418 : 53,200.82 = 29,882.19 : x
  2. Step 2: Convert to fraction form
    35,418/53,200.82 = 29,882.19/x
  3. Step 3: Cross multiply
    35,418x = 53,200.82 × 29,882.19
  4. Step 4: Simplify right side
    35,418x = 1,589,756,861.98
  5. Step 5: Solve for x
    x = 1,589,756,861.98/35,418
  6. Step 6: Final answer
    x = 44,885.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.