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Finding the Fourth Proportional to 37,170, 51,294.28 and 20,174.16

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Solution

The fourth proportional to 37,170, 51,294.28 and 20,174.16 is: 27,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,170 : 51,294.28 = 20,174.16 : x
  2. Step 2: Convert to fraction form
    37,170/51,294.28 = 20,174.16/x
  3. Step 3: Cross multiply
    37,170x = 51,294.28 × 20,174.16
  4. Step 4: Simplify right side
    37,170x = 1,034,819,011.80
  5. Step 5: Solve for x
    x = 1,034,819,011.80/37,170
  6. Step 6: Final answer
    x = 27,840.17

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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.