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Finding the Fourth Proportional to 37,126.46, 55,692.12 and 10,829

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Solution

The fourth proportional to 37,126.46, 55,692.12 and 10,829 is: 16,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126.46 : 55,692.12 = 10,829 : x
  2. Step 2: Convert to fraction form
    37,126.46/55,692.12 = 10,829/x
  3. Step 3: Cross multiply
    37,126.46x = 55,692.12 × 10,829
  4. Step 4: Simplify right side
    37,126.46x = 603,089,967.48
  5. Step 5: Solve for x
    x = 603,089,967.48/37,126.46
  6. Step 6: Final answer
    x = 16,244.21

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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.