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Finding the Fourth Proportional to 37,667, 51,989.66 and 21,749.08

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Solution

The fourth proportional to 37,667, 51,989.66 and 21,749.08 is: 30,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,667 : 51,989.66 = 21,749.08 : x
  2. Step 2: Convert to fraction form
    37,667/51,989.66 = 21,749.08/x
  3. Step 3: Cross multiply
    37,667x = 51,989.66 × 21,749.08
  4. Step 4: Simplify right side
    37,667x = 1,130,727,274.51
  5. Step 5: Solve for x
    x = 1,130,727,274.51/37,667
  6. Step 6: Final answer
    x = 30,019.04

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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.