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Finding the Fourth Proportional to 52,107.96, 78,176.52 and 20,965.08

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Solution

The fourth proportional to 52,107.96, 78,176.52 and 20,965.08 is: 31,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.96 : 78,176.52 = 20,965.08 : x
  2. Step 2: Convert to fraction form
    52,107.96/78,176.52 = 20,965.08/x
  3. Step 3: Cross multiply
    52,107.96x = 78,176.52 × 20,965.08
  4. Step 4: Simplify right side
    52,107.96x = 1,638,976,995.92
  5. Step 5: Solve for x
    x = 1,638,976,995.92/52,107.96
  6. Step 6: Final answer
    x = 31,453.49

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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.