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Finding the Fourth Proportional to 125,997.75, 189,000.27 and 32,503.50

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Solution

The fourth proportional to 125,997.75, 189,000.27 and 32,503.50 is: 48,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,997.75 : 189,000.27 = 32,503.50 : x
  2. Step 2: Convert to fraction form
    125,997.75/189,000.27 = 32,503.50/x
  3. Step 3: Cross multiply
    125,997.75x = 189,000.27 × 32,503.50
  4. Step 4: Simplify right side
    125,997.75x = 6,143,170,275.95
  5. Step 5: Solve for x
    x = 6,143,170,275.95/125,997.75
  6. Step 6: Final answer
    x = 48,756.19

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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.