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Finding the Fourth Proportional to 37,338.50, 51,527.14 and 21,422.28

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Solution

The fourth proportional to 37,338.50, 51,527.14 and 21,422.28 is: 29,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338.50 : 51,527.14 = 21,422.28 : x
  2. Step 2: Convert to fraction form
    37,338.50/51,527.14 = 21,422.28/x
  3. Step 3: Cross multiply
    37,338.50x = 51,527.14 × 21,422.28
  4. Step 4: Simplify right side
    37,338.50x = 1,103,828,820.68
  5. Step 5: Solve for x
    x = 1,103,828,820.68/37,338.50
  6. Step 6: Final answer
    x = 29,562.75

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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.