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Finding the Fourth Proportional to 35,106.24, 52,674 and 15,398.94

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Solution

The fourth proportional to 35,106.24, 52,674 and 15,398.94 is: 23,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.24 : 52,674 = 15,398.94 : x
  2. Step 2: Convert to fraction form
    35,106.24/52,674 = 15,398.94/x
  3. Step 3: Cross multiply
    35,106.24x = 52,674 × 15,398.94
  4. Step 4: Simplify right side
    35,106.24x = 811,123,765.56
  5. Step 5: Solve for x
    x = 811,123,765.56/35,106.24
  6. Step 6: Final answer
    x = 23,104.83

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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.