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Finding the Fourth Proportional to 52,125.96, 71,933.05 and 29,464.16

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Solution

The fourth proportional to 52,125.96, 71,933.05 and 29,464.16 is: 40,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.96 : 71,933.05 = 29,464.16 : x
  2. Step 2: Convert to fraction form
    52,125.96/71,933.05 = 29,464.16/x
  3. Step 3: Cross multiply
    52,125.96x = 71,933.05 × 29,464.16
  4. Step 4: Simplify right side
    52,125.96x = 2,119,446,691.10
  5. Step 5: Solve for x
    x = 2,119,446,691.10/52,125.96
  6. Step 6: Final answer
    x = 40,660.10

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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.