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Finding the Fourth Proportional to 37,575.44, 51,852.96 and 21,224

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Solution

The fourth proportional to 37,575.44, 51,852.96 and 21,224 is: 29,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,575.44 : 51,852.96 = 21,224 : x
  2. Step 2: Convert to fraction form
    37,575.44/51,852.96 = 21,224/x
  3. Step 3: Cross multiply
    37,575.44x = 51,852.96 × 21,224
  4. Step 4: Simplify right side
    37,575.44x = 1,100,527,223.04
  5. Step 5: Solve for x
    x = 1,100,527,223.04/37,575.44
  6. Step 6: Final answer
    x = 29,288.47

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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.