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Finding the Fourth Proportional to 37,447.68, 56,128 and 14,059.20

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Solution

The fourth proportional to 37,447.68, 56,128 and 14,059.20 is: 21,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,447.68 : 56,128 = 14,059.20 : x
  2. Step 2: Convert to fraction form
    37,447.68/56,128 = 14,059.20/x
  3. Step 3: Cross multiply
    37,447.68x = 56,128 × 14,059.20
  4. Step 4: Simplify right side
    37,447.68x = 789,114,777.60
  5. Step 5: Solve for x
    x = 789,114,777.60/37,447.68
  6. Step 6: Final answer
    x = 21,072.46

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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.