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Finding the Fourth Proportional to 52,478.94, 78,692.49 and 17,406.75

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Solution

The fourth proportional to 52,478.94, 78,692.49 and 17,406.75 is: 26,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.94 : 78,692.49 = 17,406.75 : x
  2. Step 2: Convert to fraction form
    52,478.94/78,692.49 = 17,406.75/x
  3. Step 3: Cross multiply
    52,478.94x = 78,692.49 × 17,406.75
  4. Step 4: Simplify right side
    52,478.94x = 1,369,780,500.31
  5. Step 5: Solve for x
    x = 1,369,780,500.31/52,478.94
  6. Step 6: Final answer
    x = 26,101.53

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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.