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Finding the Fourth Proportional to 37,045.12, 51,122.16 and 20,278

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Solution

The fourth proportional to 37,045.12, 51,122.16 and 20,278 is: 27,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045.12 : 51,122.16 = 20,278 : x
  2. Step 2: Convert to fraction form
    37,045.12/51,122.16 = 20,278/x
  3. Step 3: Cross multiply
    37,045.12x = 51,122.16 × 20,278
  4. Step 4: Simplify right side
    37,045.12x = 1,036,655,160.48
  5. Step 5: Solve for x
    x = 1,036,655,160.48/37,045.12
  6. Step 6: Final answer
    x = 27,983.58

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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.