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Finding the Fourth Proportional to 37,971.88, 52,401.54 and 22,057

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Solution

The fourth proportional to 37,971.88, 52,401.54 and 22,057 is: 30,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.88 : 52,401.54 = 22,057 : x
  2. Step 2: Convert to fraction form
    37,971.88/52,401.54 = 22,057/x
  3. Step 3: Cross multiply
    37,971.88x = 52,401.54 × 22,057
  4. Step 4: Simplify right side
    37,971.88x = 1,155,820,767.78
  5. Step 5: Solve for x
    x = 1,155,820,767.78/37,971.88
  6. Step 6: Final answer
    x = 30,438.86

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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.