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Finding the Fourth Proportional to 37,037, 51,111.06 and 20,270

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Solution

The fourth proportional to 37,037, 51,111.06 and 20,270 is: 27,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,037 : 51,111.06 = 20,270 : x
  2. Step 2: Convert to fraction form
    37,037/51,111.06 = 20,270/x
  3. Step 3: Cross multiply
    37,037x = 51,111.06 × 20,270
  4. Step 4: Simplify right side
    37,037x = 1,036,021,186.20
  5. Step 5: Solve for x
    x = 1,036,021,186.20/37,037
  6. Step 6: Final answer
    x = 27,972.60

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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.