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Finding the Fourth Proportional to 37,309.68, 51,478.49 and 21,173.40

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Solution

The fourth proportional to 37,309.68, 51,478.49 and 21,173.40 is: 29,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.68 : 51,478.49 = 21,173.40 : x
  2. Step 2: Convert to fraction form
    37,309.68/51,478.49 = 21,173.40/x
  3. Step 3: Cross multiply
    37,309.68x = 51,478.49 × 21,173.40
  4. Step 4: Simplify right side
    37,309.68x = 1,089,974,713.10
  5. Step 5: Solve for x
    x = 1,089,974,713.10/37,309.68
  6. Step 6: Final answer
    x = 29,214.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.