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Finding the Fourth Proportional to 71,692.32, 107,468.40 and 32,259.36

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Solution

The fourth proportional to 71,692.32, 107,468.40 and 32,259.36 is: 48,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692.32 : 107,468.40 = 32,259.36 : x
  2. Step 2: Convert to fraction form
    71,692.32/107,468.40 = 32,259.36/x
  3. Step 3: Cross multiply
    71,692.32x = 107,468.40 × 32,259.36
  4. Step 4: Simplify right side
    71,692.32x = 3,466,861,804.22
  5. Step 5: Solve for x
    x = 3,466,861,804.22/71,692.32
  6. Step 6: Final answer
    x = 48,357.51

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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.