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Finding the Fourth Proportional to 37,284.28, 51,462.42 and 21,984.20

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Solution

The fourth proportional to 37,284.28, 51,462.42 and 21,984.20 is: 30,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284.28 : 51,462.42 = 21,984.20 : x
  2. Step 2: Convert to fraction form
    37,284.28/51,462.42 = 21,984.20/x
  3. Step 3: Cross multiply
    37,284.28x = 51,462.42 × 21,984.20
  4. Step 4: Simplify right side
    37,284.28x = 1,131,360,133.76
  5. Step 5: Solve for x
    x = 1,131,360,133.76/37,284.28
  6. Step 6: Final answer
    x = 30,344.16

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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.