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Finding the Fourth Proportional to 37,024.36, 51,094.02 and 20,257

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Solution

The fourth proportional to 37,024.36, 51,094.02 and 20,257 is: 27,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024.36 : 51,094.02 = 20,257 : x
  2. Step 2: Convert to fraction form
    37,024.36/51,094.02 = 20,257/x
  3. Step 3: Cross multiply
    37,024.36x = 51,094.02 × 20,257
  4. Step 4: Simplify right side
    37,024.36x = 1,035,011,563.14
  5. Step 5: Solve for x
    x = 1,035,011,563.14/37,024.36
  6. Step 6: Final answer
    x = 27,954.88

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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.