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Finding the Fourth Proportional to 37,422, 56,142.25 and 11,126.63

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Solution

The fourth proportional to 37,422, 56,142.25 and 11,126.63 is: 16,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,422 : 56,142.25 = 11,126.63 : x
  2. Step 2: Convert to fraction form
    37,422/56,142.25 = 11,126.63/x
  3. Step 3: Cross multiply
    37,422x = 56,142.25 × 11,126.63
  4. Step 4: Simplify right side
    37,422x = 624,674,155.66
  5. Step 5: Solve for x
    x = 624,674,155.66/37,422
  6. Step 6: Final answer
    x = 16,692.70

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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.