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Finding the Fourth Proportional to 52,173.96, 71,995.68 and 29,511.78

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Solution

The fourth proportional to 52,173.96, 71,995.68 and 29,511.78 is: 40,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,173.96 : 71,995.68 = 29,511.78 : x
  2. Step 2: Convert to fraction form
    52,173.96/71,995.68 = 29,511.78/x
  3. Step 3: Cross multiply
    52,173.96x = 71,995.68 × 29,511.78
  4. Step 4: Simplify right side
    52,173.96x = 2,124,720,669.11
  5. Step 5: Solve for x
    x = 2,124,720,669.11/52,173.96
  6. Step 6: Final answer
    x = 40,723.78

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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.